I have absolutely no idea what I'm doing with vectors so if someone could help me out with these questions I'd appreciate it. I'm suppose to describe the shape given by these vector equations, where r is a 3 dimensional vector:
r X (i + j) = ( i - j)
|r - i| = |r - j|
For both of these I have solved for x, y and z. For the first one I get z = -1 and y = x. I have solved the second one similarly, however this isn't really describing the shape given by the equations so I'm not sure what is required for an answer.