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 Topic: 3-space
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 A curve in 3-space 2013-02-14 From pardeep:we have to show that the curve r(t)=(cos t)i+(sin t)j+(1-cos t)k ,0<=t<=2pie; is an ellipse by showing it to an intersection of a right circular cylinder and a plane. i got the eqn. of the cylinder but did not get the eqn of plane.Answered by Harley Weston. Two coplanar lines 2007-08-21 From Robin: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.Answered by Stephen La Rocque and Penny Nom. Distance in 3-space 2002-08-16 From David: 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.Answered by Penny Nom. A set of points in space 2002-03-18 From Victoria:Describe the given set with a single equation or a pair of equations: The set of points in space that lie 2 units from the point(0,0,1) and at the same time 2 units from the point (0,0,-1). Answered by Penny Nom. A line in 3 dimensions 2001-10-17 From Murray:I'm working on a complicated proof and i need the equation for a line in 3 dimensions.Answered by Claude Tardif. Intersection of planes 1998-11-22 From Dave Rasmussen: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?Answered by Walter Whiteley and Harley Weston.

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