Posted by Mackenzie on Tuesday, December 4, 2012 at 5:40pm.
Find the parametric equations for the line of intersection of the planes x+y+z=3 and xy+2z=2
I took the cross product of the 2 equations and got 3ij2k
I then set z=0 and got x=5/2 and y=1/2.
I got:
x=5/2 +3t
y=1/2t
z=2t
However, the answers are supposed to be:
x=5/2(3/2)t
y=1/2+(1/2)t
z=t
What is my procedure missing to get there?

Calculus  A., Tuesday, December 4, 2012 at 6:09pm
I think your method is correct.
You took the cross product of the two vectors of the plane <1,1,1>x<1,1,2> and got the direction vector v=<3,1,2>
You combined the two equations and got (0,5/2,1/2), which gives you the position
There are many different solutions for an equation of a line. So don't think that your answer is wrong.

Calculus  A., Tuesday, December 4, 2012 at 6:12pm
*oops (5/2,1/2,0) for position
Looking at the answer again,
it looks like they divided the vector by 2

Calculus  Mackenzie, Tuesday, December 4, 2012 at 6:22pm
Do you know why they divided it by 2?
Answer This Question
Related Questions
 Calculus  Find the parametric equations for the line of intersection of the ...
 Calculus  Consider the planes given by the equations 2y−2x−z=2 x&#...
 Math  Intersection of planes  Find the vector equation of the line of ...
 Math  Find parametric equations and symmetric equations for the line of ...
 Calculus  Consider the following planes. 5x − 4y + z = 1, 4x + y − ...
 vectors  3 planes; $: x+2y2z6=0 %: 2xy+z+8=0 £: 2xy+2z+3=0 (a)(i)Find the ...
 Vectors  3 planes; $: x+2y2z6=0 %: 2xy+z+8=0 £: 2xy+2z+3=0 (a)(i)Find the ...
 Calculus  1. a) Write the vector and parametric equations of the line through ...
 maths  geometry  In a space with an orthonormal coordinate system consider the...
 Math  intersection of planes  You are given the following two planes: x+4y3z...
More Related Questions