Question

Find two vectors v and w that are perpendicular to (1, 0, 1) and to each other.

Answer 1

Two vectors are orthogonal if their inner product is 0.

Answer 2

So how do I find those and what are the answers?

Answer 3

Let us assume that, obviously, the vector is of the form \(\vec v = \langle x, y, z \rangle\). Therefore, find solutions to the equation \(x + z = 0\).