a)Determine the equation of the line of intersection L between the planes pi1: 2x+3y-z=3 and pi2: -x+y+z=1.
b) Determine the point of intersection between L and the xz-plane.
I need help with part b)
for part a) my answer is: z=t, x=4t/5, and y=1- (t/5)
which is correct.
now for part b) my work thus far is:
(x,y,z)=(0,0,0)+t(0,1,0) <<< xz-plane means y-axis
i substituted the parametric equations into symmetric equations
and I ended up with t=0, then i substituted t=0 into the parametric equation.
My answer doesn't match the back of the book, can someone tell me what I did wrong. Explain the correct method. Thanks!