1. ## vector problem

Describe the shape of the intersection of the plane z=-3 and the plane y=z in three space. I drew out a diagram of z=-3 but im not sure what to do with y=z i know that from what i've learned, every point on y is equal to a point on z and that the x coordinates can be any value.

2. Originally Posted by surffan
Describe the shape of the intersection of the plane z=-3 and the plane y=z in three space. I drew out a diagram of z=-3 but im not sure what to do with y=z i know that from what i've learned, every point on y is equal to a point on z and that the x coordinates can be any value.
Dear surffan,

Since $z=-3~ and~ y=z\Rightarrow{z=y=-3}$

This is a straight line for any x value. Please see the attachement so you will understand this correctly.