Question

Let x-2y-z=-2 and -2x+4y+z=5 be two planes.
Find the parametric equations for the line in which x-2y-z=-2 and -2x+4y+z=5 intersect.

Answer 1

Anybody can help me?!

Answer 2

find the normal vectors for the two planes
find the cross product
then find any point that lies in both planes

form equation

I get \[(2,1,0)t+(-3,0,-1)\]

Answer 3

how to find normal vectors?

Answer 4

take the coefficients from the equations of the planes

x-2y-z=-2 and -2x+4y+z=5

(1,-2,-1) and (-2,4,1)