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find a vector equation for the line of intersection of x + y + z= 0 and x + z = 0.

Is x + z= 0 still a plane even though it doesn't have the form Ax + By + Cz = D?

I notice that if you set the two equations equal to each other you find that y = 1. Does this mean that the planes intersect on a line where y =1 and all x coordinates are equal to negative z coordinates? Thanks!