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l'orientation d'un plan dans l'espace 2010-03-22
gianno pose la question :
comment calculer l'orientation d'un plan dans l'espace
Claude Tardif lui répond.
Une plantation d'arbres 2002-12-10
Eric pose la question :
créer une plantation d'arbres de 6 rangées de 5 arbres, pour un total de 15 arbres . Je n'arrive pas à trouver la forme géométrique.Merci de me répondre que j'ai l'air moins bête envers mon gamin.
Claude Tardif lui répond.
A hexagonal planter 2020-05-28
Callie pose la question :
Hello, I'm having trouble cutting my angles for my 2 x 4 planter. I did exactly as I've watched and read and mine is just not turning out! Ok, so I want 6 or 8 piece hexagon. With an interior of about 10". So I understand that the boards can be any length, but its the 30 degree or 22 1/2" angles that matter. So. How do I figure how long my 2 x 4 is with 6. and another 8 pieces of 2 x 4 to make this planter and at what angle. So does the length determine the angle? Thank you in advance! i don't want to waste anymore wood! And how to figure length, angle and center circumference?
Harley Weston lui répond.
The volume under an an uneven surface 2020-05-01
Solon pose la question :
I am trying to fill an area of floor which has an uneven surface. I need to know the volume of fill. If you imagine a rectangular room (4 corners) that measures 189 inches by 240 inches and the depth at each corner is different.
Let us say corner #1 has a depth of 1", corner #2 has a depth of 0", corner #3 has a depth of 2" and corner #4 has a depth of 4".
How would i find the volume of said floor area?

Any assistance would be greatly appreciated!

Harley Weston lui répond.
A hexagonal planter 2019-11-19
Colleen pose la question :
I need to build a hexagon planter around a 32” square box. How long is each side of the hexagon?
Penny Nom lui répond.
The angle between two planes 2017-09-12
Arthi pose la question :
Hello. hope you are having a good day.

I am stuck on a maths question in which it is asking, how to find the angle between two given planes. These planes are in a 3D shape such as a prism.
How can I do this?
Please reply as soon as possible

Thank You

Penny Nom lui répond.
Covering a floor with plank flooring 2016-12-04
sandra pose la question :
my bathroom is 5'x6'.2"
i want to purchase plank flooring which covers 19.8 sq ft per box.
how many boxes would i need.

Penny Nom lui répond.
An airplane schedule 2016-10-14
Stephanie pose la question :
Starting at 8:00a.m., a passenger plane leaves from an airport every 6 minutes and a cargo plane leaves every 7 minutes. When is the next time these kinds of planes will leave at the same time?
Penny Nom lui répond.
Sierpinski Pyramid 2015-12-14
victor pose la question :
Is a tetrix (a Sirpienski Pyramid/Tetrahedron) its own hyperplane?...alternatively, is it a hyperplane?
Robert Dawson lui répond.
The line of intersection of two planes 2015-12-09
Rabz pose la question :
Determine the vector equation for the intersection between the two given planes 2x+7y equal to 14,x+z equal to 7
Penny Nom lui répond.
The intersection of a plane and a cone 2015-05-16
Tom pose la question :
Is there a way to derive an equation that describes the perimeter of the intersection of a plane and a cone regardless of the angle of the plane to the cone. Assume that the plane does not cut through the base of the cone, the x, y, z location of the vertex is known, the distance from the vertex to the plane through the axis is know., and that the angle of the cone is known.
Chris Fisher lui répond.
Planar curves 2014-12-13
ann pose la question :
what does planar curve mean in your definition of a cone?
Penny Nom lui répond.
Meetings for 77 students 2014-09-18
Adam pose la question :
We have a new group of students starting, and would like to set up a series of small group meetings so each student meets each other, hopefully without meeting the same people twice.

We have 77 students. In theory I would like to have 11 meeting slots, with 10 groups in each slot, with up to 8 students in each group. Is there a way to do this?

I have wondered if it might be easier to do 9 meeting slots, with 9 groups per slot, with 9 students per group. Thanks!

Victoria West lui répond.
If x+y+z=1 then x^2 + y^2 + z^2 = ? 2014-04-30
Nitin pose la question :
If x+y+z=1 then x^2 +y^2+z^2 = ? ?
Robert Dawson lui répond.
A plane 2013-10-27
Thomas pose la question :
Why is this 3d plane flat?
if m ≠ n
arcsin(sin(m*arctan(x/y))), arcsin(cos(n*arctan(x/y))),
Pi-arcsin(sin(m*arctan(x/y)))-arcsin(cos(n*arctan(x/y)))
This is using radians.
These are angles of a triangle, when m and n are the same it is a right triangle. All three inputs are not equal to each other. The last input is pi minus the first two inputs, which makes a complete triangle.
I was kind of hoping to find more lissajous curves. It doesn't make sense to me that this is a flat plane, a diagonal one at that.

I'm not a student or anything. I'm just wasting time.

Chris Fisher lui répond.
Dropping supplies from an airplane 2013-02-14
Claire pose la question :
An airplane flying at an altitude of 3500 feet is dropping supplies to researchers on an island. The path of the plane is parallel to the ground at the time the supplies are released and the plane is traveling at a speed of 300 mph.
a) write the parametric equations that represent the path of the supplies
c)How long will it take for the supplies to reach the ground?
d) how far will the supplies travel horizontally before they land?

Penny Nom lui répond.
Is a line lying in a plane an open or a closed region? 2013-02-13
pardeep pose la question :
please help with this question on the open and closed intervals :: Is a line lying in a plane an open or a closed region? my teacher says it is a closed region reasoning out that it contains all it boundary points. please help how is it so?
Harley Weston lui répond.
How fast is the distance between the aircraft and the car increasing? 2012-10-24
Steven pose la question :
At a certain instant an aircraft flying due east at 240 miles per hour passes directly over a car traveling due southeast at 60 miles per hour on a straight, level road. If the aircraft is flying at an altitude of .5mile, how fast is the distance between the aircraft and the car increasing 36 seconds after the aircraft passes directly over the car?
Penny Nom lui répond.
A plane travelling with the wind and against the wind 2012-08-03
Gwen pose la question :
The time of a plane trip of 450 miles, with the wind is 3/5 the time of the return trip against the wind. If the plane travels 120 mph in still air, what is the wind speed?
Penny Nom lui répond.
The position of an aircraft relative to the airport 2012-06-08
Dennis pose la question :
"Air traffic controllers usually describe the position of an aircraft relative to the airport by altitude, horizontal distance, and bearing.  Suppose an aircraft is at altitude 500m, distance 15km, and bearing 35 degrees east of north.  What are the x,y, and z components (in meters) of the position vector. The x-axis is east, the y-axis is north and the z-axis is vertical.
Penny Nom lui répond.
A scale drawing 2011-10-30
aretha pose la question :
i have a scale drawing of a house floor plan, don't understand how to find the answer. the drawing is 1in: 3ft. need to find the length / width/and the actual length/width of the living room,kitchen, 3bedrooms deck,sitting room, entry, and closet
Penny Nom lui répond.
Two line segments in the plane 2011-08-15
Tim pose la question :
For this problem I actually have tried to visualise the image in my head many times. This question makes my head spin.

Four points lie in a plane. They are partitioned into two pairs so that the sum of the lengths of the segments joining the points of each pair has the minimal possible value. Prove that these segments have no common points.

Chris Fisher lui répond.
Points with distance 5 from the point (-2, -1) 2011-01-19
Alexa pose la question :
Find all points having a x-coordinate of 2 whose distance from the point (-2, -1) is 5.
Penny Nom lui répond.
The angle between a line and a plane 2011-01-12
tom pose la question :
what are the angles of the diagonal of a rectangular parallelepiped 2in by 3 in by 4 in makes with the faces...
You know this is a problem that I can't figure out ...I don't know where the angle and the diagonals where? can you help me with this one?

Penny Nom lui répond.
What is its speed in still air? 2010-11-28
Shelby pose la question :
An Airplane flies a certain distance in 3 hours going WITH a 40km/hr wind. It travels the same distance in 5 hours when going against the wind. What is it's speed and how long would it take to travel the same distance in still air? Distance = speed x time
Penny Nom lui répond.
Two jets leave denver at 9 am. 2010-10-15
Carl pose la question :
two jets leave denver at 9 am. One flying east at a speed of 50 km per hour greater than the other which is traveling west. At 11 am the planes are 2500 km apart. Find their speeds.
Stephen La Rocque lui répond.
Geometry in the Woods 2010-06-16
cleo pose la question :
what geometric ideas can you find in the woods
Walter Whiteley lui répond.
Graphical Representation of Complex Numbers 2010-06-08
Anas pose la question :
why do we write complex number a+ib as (a,b)?
Janice Cotcher lui répond.
Can a line segment curve over two planes? 2010-02-14
Graham pose la question :
I am working on a math fair project. Can a line segment curve over two planes? Such as, if I had a three dimensional L bracket and I drew a line segment on it with a marker starting on the bottom of the L and had it curve around the corner and up the top, would it still be considered one line segment? Or is that two line segments? Is there a rule that a line segment can only occupy one plane? Thank you. Graham
Chris Fisher lui répond.
Two jets are traveling towards each other 2009-10-05
jake pose la question :
two jets are traveling towards each other and are 4000 km apart. the rate of one jet is 100 km/h faster than the rate of the other. if the jets pass each other after 2.5 hrs what is the rate of speed of the faster jet?
Penny Nom lui répond.
At what speed does an automobile start to hydroplane? 2009-06-03
Don pose la question :
How do you figure at what speed does an automobile start to hydroplane when driving on a wet surface.
Robert Dawson lui répond.
An aeroplane flying in a wind 2009-06-02
Maria pose la question :
The aeroplane flies in a wind of speed 50 kph from the direction S80◦W. However, the direction in which it is pointed, and its speed in still air, are such that its resultant speed and direction are 800 kph, and direction N71.6◦E

I need to find the size of the angle between v and vw, in degrees to one decimal place, and find the speed at which the aeroplane would fly if the air were still, to the nearest kph.

It would help me greatly if I could see a diagram illustrating the velocity va that the aeroplane would have if the air were still, the velocity vw of the wind, and the resultant velocity v of the aeroplane (diagram should be in the form of a triangle illustrating how one velocity vector is the sum of the other two)

Thanks

Harley Weston lui répond.
A plane cuts a line segment 2009-03-17
Manis pose la question :
Find the ratio in which the line joining (2,4,16) and (3,5,-4) is divided by the plane 2x-3y+z+6=0.
Robert Dawson lui répond.
A slopped table top 2009-03-16
anthony pose la question :
A perfect circle with radius 100m is supported by four legs, 50m long. The circle is flat when all four legs are 50m long, and tilted when the legs are different in length. The four legs are spread evenly 90 degrees apart at 0, 90, 180, and 270. Find the high and low points in degree and height when the legs are 55m at 0 degree, 70m at 90 degree, 45m at 180 degree, and 30m at 270 degree.

Not sure if they can be calculated using only 2 or 3 legs.

I have tried by picking the two adjacent highest legs (55m and 70m) so I know the high point falls into the first quadrant. Then I tried using ratio to determine where the high point is, which I think high point should be closer to the 70m leg, I am not sure. If I can find the high point, the low point should be opposite to it.

Chris Fisher and Harley Weston lui répond.
Related rates 2009-03-09
Megan pose la question :
A plane flying with a constant speed of 330 km/h passes over a ground radar station at an altitude of 3 km and climbs at an angle of 30°. At what rate is the distance from the plane to the radar station increasing a minute later?
Harley Weston lui répond.
How fast is the visible surface of the earth decreasing? 2009-01-24
Ray pose la question :
A dive bomber loss altitude at a rate of 400 mph. How fast is the visible surface of the earth decreasing when the bomber is one mile high?
Harley Weston lui répond.
How far is the airplane from the control tower? 2009-01-17
Murtaza pose la question :
An aircraft is vertically above a point which is 10 km west and 15 km north of a control tower. The aircraft is 4000 m above the ground, how far is it from the control tower?
Penny Nom lui répond.
The area of a region in the plane 2009-01-03
Rogerson pose la question :
Find the area, S, of the shaded region enclosed by the given cureve, the given line and the x-axis.

y = -x^2 + 1
line x = 2

Harley Weston lui répond.
What is i^i? 2008-12-27
randomness pose la question :
i have learnt that 'i' is square root of -1. What is then i^i ? It baffles my maths teacher...
Robert Dawson and Penny Nom lui répond.
How fast is the distance between the airplanes decreasing? 2008-11-10
Crystal pose la question :
At a certain instant, airplane A is flying a level course at 500 mph. At the same time, airplane B is straight above airplane A and flying at the rate of 700 mph. On a course that intercepts A's course at a point C that is 4 miles from B and 2 miles from A. At the instant in question, how fast is the distance between the airplanes decreasing?
Harley Weston lui répond.
The flight of an airplane 2008-08-29
kobina pose la question :
You are traveling on an airplane that is moving at 500 mph in a direction 40deg north of west.Therefore , You are travelling (due to the plane ) at how many mph toward the west.
Stephen La Rocque lui répond.
What is the altitude of the plane? 2008-04-23
tiana pose la question :
If a plane is taking off and its climbing at 380 feet per minute at 205 MPH, what is the altitude of the plane after it traveled 115 miles?
Penny Nom lui répond.
A package of supplies is dropped from a plane 2008-02-29
beth pose la question :
An airplane flies west at a speed of 200m/s. A package of supplies is dropped from the plane to some campers. if the plane is at an altitude of 1000meters, how far from the campers should the package be dropped to land near them? ignore wind resistance.
Stephen La Rocque lui répond.
Forces on an inclined plane 2008-01-10
Ron pose la question :
A body that weighs 540lbs is caused to slide up an inclined plane with a uniform velocity by a force that acts parallel to the plane. For each foot of horizontal distance, there is a vertical rise of 2in. If the coefficient of sliding friction is 0.16, what force is required to move the body?
Stephen La Rocque lui répond.
The radius of a planet 2008-01-06
Ben pose la question :
Two people who are both h feet tall are standing on a spherical planet. One person walks a distance d in feet away from the the other person. At this point, the person walking turns around and can no longer see the top of the other persons head. What is the radius of the planet?
Stephen La Rocque and Harley Weston lui répond.
What is the speed of the plane in still air? 2008-01-05
oscar pose la question :
A plane flies 400 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 24mph, what is the speed of the plane in still air?
Penny Nom lui répond.
Points that are 15 units from the origin 2007-09-20
Paula pose la question :
Find the coordinates of any point(s) 15 units away from the origin with an x-coordinate of 9.

I was given the answer: (9,12) and (9,-12), but I do not understand how these numbers were calculated. Thank you for your help!

Stephen La Rocque lui répond.
Filling a planting bed 2007-09-18
Luke pose la question :
How many 40lbs bags will it take to fill area 21feet long 45inchs wide 9 inch deep?
Penny Nom lui répond.
Question 2007-08-28
Reneilwe pose la question :
Above is a plan of a house. The scale is 1 cm = 0,8 metres.
3.1 Describe briefly the rooms you come to as you go through the front door and down the passage. Say whether each room is on your left, right, ahead, etc
3.2 Find the actual dimensions of the bathroom (length and breadth)
3.3 Give the length of the passage in metres.
3.4 Give the area of a carpet needed to cover the passage
3.5 A child is in the lounge, at the door into the passage. He pushes a toy car, and it take 2 seconds to go from one end of the passage to the other. Calculate the speed at which the car travels, first in metres per second, then in kilometres per hour. Give the answer correct to 1 decimal place.

Penny Nom lui répond.
Two coplanar lines 2007-08-21
Robin pose la question :
I am going two show that the two lines are coplanar:

(x-5)/4=(y-7)/4=-(z+3)/5
(x-8)/7=y-4=(z-5)/3

I know I have to find a point that lie on both lines, but dont really get it.

Stephen La Rocque and Penny Nom lui répond.
Points in a plane 2007-06-01
Gabrielle pose la question :
In general how many planes are there which contain two given points, three given points, and four given points?
Steve La Rocque and Walter Whiteley lui répond.
The intersection of two planes 2007-05-31
Sarim pose la question :
How to find a intersection of two planes?
Penny Nom lui répond.
The velocity of an aircraft 2007-03-22
William pose la question :
Hello, I don't understand how to work this problem. Thanks in advance for your help!

A jet moving at 500.0 km/h due east moves into a region where the wind is blowing at 120.0 km/h in a direction 30.0 degrees north of east. What is the new velocity and direction of the aircraft relative to the ground?

Penny Nom lui répond.
Cut a given sphere by a plane 2007-03-14
Rory pose la question :
Cut a given sphere by a plane so that the volumes of the two segments formed shall be in a given ratio. Show that in modern notation, this leads to the cubic equation m(r+x)^2(2r-x)=n(r-x)^2(2r+x) where r is the radius of the sphere, x is the distance of the cutting plane from the centre of the sphere, and m/n < 1 is the given ratio. Can you help me show the solution to this question. Thank you.
Penny Nom lui répond.
The distance from a point to a line in 3 space 2006-10-29
Marie pose la question :
find the distance from the point (1, -2, -3) to the line x = y = z-2
Penny Nom lui répond.
Computing gravity 2006-09-27
Patricia pose la question :
What is the gravity of planet z in inch/hr squared if the weight of an element with mass of 45000 oz on planet z is 2N?
Stephen La Rocque lui répond.
Plotting co-ordinates on a number plane 2006-09-08
Victor pose la question :
I need to plot co-ordinates (0,2), (2,-2), (-2,0), and (0,0) on a number or co-ordinates plane, I am not sure how to do this, and get lost after the first point, can you please help?
Penny Nom lui répond.
Flying with and against the wind 2006-07-06
Tim pose la question :
When a plane flies with the wind, it travels 800 miles in 4 hours. Against the wind it takes 5 hours to cover the same distance. Find the rate of the plane in still air and the rate of the wind.
Stephen La Rocque lui répond.
A plant increases its height by 1/2 the first day,... 2006-03-30
Andy pose la question :
A plant increases its height by 1/2 the first day, 1/3 the second day, 1/4 the third day and so on. How many days did it take to grow to 100 times its height?
Stephen La Rocque lui répond.
A line parallel to a plane 2006-03-28
Ryan pose la question :

I was wondering how I would prove the following theorem. I am completely lost at this point and all my other ideas have been extremely complicated and somewhat blurry.

"Through a point outside a given plane, there is at least one line parallel to the given plane."


Chris Fisher lui répond.
Find the ground speed and the planes true heading. 2006-02-05
Jimmie pose la question :
An aircraft going from city A to city B on a bearing of S69E (degrees) is traveling at a speed of 430 mph. The wind is blowing out of the north to south at a speed of 25 mph. Find the ground speed and the planes true heading.
Penny Nom lui répond.
How many passengers boarded the plane in Phoenix? 2005-11-03
Vish pose la question :
Passengers boarded a plane in Phoenix. In Dallas 1/2 of the passengers got off and 4/5 of the original number got on. In Memphis 3/4 of the passengers got off and twice the number of remaining passengers got on. In Chicago 2/3 of the passengers got off the plane leaving 39 passengers. How many passengers originally boarded the plane in Phoenix?
Penny Nom lui répond.
The volume of soil needed to fill a planter 2005-08-10
Phil pose la question :
I need to calculate the volume of soil needed to fill a planter box that measures - 880mm W x 6080mm L x 900mm D.
Penny Nom lui répond.
What is the radius of this planet 2005-08-05
Kelly pose la question :
Assuming that a North-South line has been established, you set up two camps that are 67 miles apart. You now set up poles at each camp perpendicular to the ground. On a certain day at "noon" the pole at the South camp casts no shadow, while at the North camp a shadow is cast. The shadow makes an angle of 89 degrees with the horizontal. What is the radius, diameter, and circumference of this planet?
Chris Fisher lui répond.
Planting trees 2004-11-15
Heather pose la question :
Design a plan of how it would be possible to plant 10 trees in 5 rows, and have 4 trees in each row.
Penny Nom lui répond.
An aircraft is flying directly from airport A to airport B 2004-10-22
A student pose la question :
In this question, i is a unit vector due east and j is a unit vector due north. An aircraft is flying directly from airport A to airport B, which is 2000 km from A. The velocity in still air of the aircraft is (150i+50j)km/h and the ground speed is (200i-30j)km/h. Calculate

(i) the time of flight, to the nearest min
(ii) the direction of the wind.

Penny Nom lui répond.
The intersection of planes 2004-09-07
Joshua pose la question :
I was wondering about the intersection of planes. Can planes intersect?
Penny Nom lui répond.
Two line segments and a plane 2003-09-11
Laura pose la question :
Do all figures made up of two segments lie in a plane?
Penny Nom lui répond.
Can 2 vertical planes intersect? 2003-09-06
Erin pose la question :
My question is can 2 vertical planes intersect?
Penny Nom lui répond.
A triangle in the complex plane 2003-07-10
Scott pose la question :
The vertices O and A of an EQUILATERAL triangle OAB in the complex plane are located at the origin and 3 + 3i. Find all possible values for the complex number representing the vertex B. Give the location of B in both polar and cartesian form (to 2.d.p)
Penny Nom lui répond.
Two trig problems 2003-06-10
Bett pose la question :

I have this ongoing trouble with trig and solving triangles with laws of cosines and sines!! For example if it asks to solve triangle FGH, given angle G=102.7 , side f=14.2, and h=18.6. Now do I use law of cosines because I don't have the measure of an angle and length of the opposite side??I don't know where to go from here,I am totally confused!!!

I also have a problem with this word problem I have been doing. It asks: An airplane flies 847.5 km at a bearing of 237.3 degrees. How far south and west fo its original position is it? Huh? Please help!


Penny Nom lui répond.
Two airplanes leave Dallas 2003-02-06
A student pose la question :
TWO AIRPLANES LEAVE DALLAS AT THE SAME TIME AND FLY IN OPPOSITE DIRECTIONS. ONE AIRPLANE TRAVELS 80 MILES PER HOUR FASTER THAN THE OTHER. AFTER THREE HOURS, THEY ARE 2940 MILES APART. WHAT IS THE RATE OF EACH AIRPLANE?
Penny Nom lui répond.
Two rate problems 2002-09-30
Rebecca pose la question :
  1. There are two small holes in the bottom of a tub filled with water. If opened, one hole will empty the tub in three hours; the other will empty it in six hours. If both holes are opened at the same time, how long will it take to empty the tub?

  2. An airplane flies 400 miles per hour in calm air. It can cover 900 miles flying with the wind in the same time that it can cover 700 miles against the wind. What is the speed of the wind?

Penny Nom lui répond.
7th grade math lesson plans 2002-07-23
Peter pose la question :
Where can I get samples of 7th grade math lesson plans and curriculum for the whole year?
Leeanne Boehm lui répond.
The radius of a planet 2001-07-30
Jessica pose la question :
A satellite is orbiting the earth at an altitude of 100 miles. If the angle of depression from the satellite to the horizon is 50 degrees, what is the radius (to the nearest mile) of the planet?
Harley Weston lui répond.
Securing a plank in four dimensions 2001-06-06
Becca pose la question :
If it takes two nails to secure a plank from rotating on a wall in the third spatial dimension, how many nails would it take if you were attempting to secure the board from rotating in the fourth spatial dimension?
Walter Whiteley lui répond.
How many planes contain a line and a point? 2000-08-30
Harold pose la question :
How many planes contain each line and point?
Harley Weston lui répond.
Uniting algebra and geometry 2000-04-16
Beth pose la question :
Who is the mathmatician that united algebra and geometry???
Claude Tardif lui répond.
Parallel planes 2000-01-10
Hugo Alvarez pose la question :
When two parallel planes are cut by a third plane, the lines of the intersection are?
Claude Tardif lui répond.
An airplane problem 1999-03-08
B.M.R. pose la question :
A plane left New York and headed East to its destination 3600 miles away across the Atlantic. On the way back its speed was boosted by a 50 mph tail wind and it arrived an hour early. What was its normal speed?
Jack LeSage lui répond.
Geometry patterns lesson plans 1998-12-31
Vicki pose la question :
hi,,, my name is Vicki and I am a new 5th grade teacher....

Anyway, I'm supposed to come up with a lesson plan to

  • Explore patterns that result from cominations of "reflections, rotations, and translations of geometric figures.
The plan is to include:
  • writing/metacognition, assessment strategies, interdisciplanary connections, supplemental materials, or textbook, and Bloom's taxonomy level.
Any help you could give would be greatly appreciated.

Thanks
Jack LeSage lui répond.

Intersection of Planes 1998-12-03
Lindsay Fear pose la question :
My name is Lindsay Fear. I am an OAC student (which is the Ontario equivalent to Grade 12 in most other states and provinces). I am in an Algebra and Geometry course and am currently studying a unit on equations of planes. Our teacher has given us this question that my friend and I have attempted several times, but we are still unable to solve it. My teacher has also suggested using the internet as a resource. The question is:

Prove that a necessary condition that the three planes

 -x + ay + bz = 0 ax -  y + cz = 0 bx + cy -  z = 0 
have a line in common is that
a^2 + b^2 + c^2 + 2abc = 1

Walter Whiteley lui répond.
Intersection of planes 1998-11-22
Dave Rasmussen pose la question :
I am a teacher of secondary mathematics with a question about the uses of Three Dimensional Co-ordinate Geometry. I have been teaching my students to write equations of planes and lines, - to find the intersection of these and the distance between them. What I am having difficulty finding are good applications of these techniques to "real world" situations. Can anybody help me?
Walter Whiteley and Harley Weston lui répond.
 
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