Calculus
posted by Mackenzie .
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.
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.
*oops (5/2,1/2,0) for position
Looking at the answer again,
it looks like they divided the vector by 2 
Calculus 
Mackenzie
Do you know why they divided it by 2?
Respond to this Question
Similar Questions

Math
Find parametric equations and symmetric equations for the line of intersection of the given planes. x + y + z = 2, x + z = 0 X=1 y = Z= x=, y= 
Vectors
3 planes; $: x+2y2z6=0 %: 2xy+z+8=0 £: 2xy+2z+3=0 (a)(i)Find the cartesian equation for the plane @ parallel to $ and containing the point (1,1,2) (ii)Calculate the distance between $ and @ (b)(i)Find the parametric equations … 
vectors
3 planes; $: x+2y2z6=0 %: 2xy+z+8=0 £: 2xy+2z+3=0 (a)(i)Find the cartesian equation for the plane @ parallel to $ and containing the point (1,1,2) (ii)Calculate the distance between $ and @ (b)(i)Find the parametric equations … 
maths  geometry
In a space with an orthonormal coordinate system consider the plane; &: 4x3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections? 
Math  Intersection of planes
Find the vector equation of the line of intersection for the pair of planes. Plane one: x+5y3z8=0 Plane two: y+2z4=0 I did half of the work but now i am stuck. the normal of the planes are not parallel and therefore a solution exists, … 
Math  intersection of planes
You are given the following two planes: x+4y3z12=0 x+6y2z22=0 a) Determine if the planes are parallel b) Fine the line of intersection of the two planes. c) Use the two original equations to determine two other equations that have … 
Calculus
1. a) Write the vector and parametric equations of the line through the points A(6, 1, 5) and B(2, 3, 6). b) Find another point on the line in (a).  This is what I got for a) r = 6ij+5k + t(8i2j+k) x = 68t y = 12t z = … 
Calculus
Consider the planes given by the equations 2y−2x−z=2 x−2y+3z=7 (a) Find a vector v parallel to the line of intersection of the planes. (b)Find the equation of a plane through the origin which is perpendicular to the … 
Calculus
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, … 
Calculus
Consider the following planes. 5x − 4y + z = 1, 4x + y − 5z = 5 a) Find parametric equations for the line of intersection of the planes. b) Find the angle between the planes