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3 space

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9 articles trouvés pour ce sujet.
 
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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.
A region described by inequalities in cylindrical coordinates 2015-02-21
Rahul pose la question :
I am not able to visualize a solid given by inequalities as under (in cylindrical coordinate system) 0= I know that (can visualize) first 2 inequalities say it is a cylinder of infinite length. It seems that third inequality poses the restriction to the height as well as it makes us to remove a cone.
But I just can not understand it clearly.
Thanks in advance!
Regards,
Rahul

Penny Nom lui répond.
An equilateral triangle with vertices in 3 parallel planes 2014-05-31
prajay pose la question :
How to construct an Equilateral Triangle whose vertices lie on three parallel lines, if the distances of two lines are 'a' and 'b' units from the middle line.What is the length of the side of the Equilateral Triangle ?
Chris Fisher 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.
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.
Vectors in three space 2004-10-30
Jo pose la question :
I have two questions that I just cannot visulise and dont know how to get started on them..!

1. Ship X is sailing North at 4m/s and Ship Y is sailing due East at 3m/s. A sailor on Ship X climbs a vertical pole at 1/2 m/s. What is the velocity of the sailor on Ship X relative to an observer on Ship Y? State it's magnitude and direction.

Not sure where to start with this one...

2. Show, using vectors, that for any tetrahedron, the segments joining the midpoints of the opposite edges are concurrent. i know what a tetradedron is, and what I am proving but do I solve simultaneously for a specific case??

Walter Whiteley lui répond.
Distance in 3-space 2002-08-16
David pose la question :
The question is: how do I figure out the distance of one object in 3D space to another object in 3D space? I have an object at say x = 5.872, y = 2.876, and z = 7.290; and the other object is at x = 1.129, y = -8.213, and z = -11.127. I have been suggested to use the pythagorean theory on this, but since there are three variables, I don't understand how.
Penny Nom lui répond.
A cone in 3 space 2002-03-20
Matthew pose la question :
Let C in R3 be the cone defined by x2 + y2 - z2 = 0

(A) Let P be the plane described by x + 2z = 1

(i) Find a description of P in terms of two parameters s and t

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Walter Whiteley lui répond.
A line in 3 dimensions 2001-10-17
Murray pose la question :
I'm working on a complicated proof and i need the equation for a line in 3 dimensions.
Claude Tardif lui répond.
 
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