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Homework Statement
Find two vectors v and w that are perpendicular to (1, 0, 1) and to each other.
Homework Equations
I know that to be perpendicular, the dot product must be 0. So (1, 0, 1)*(x, y, z)=x+z=0 and x=z=0, y=1, therefore, v=[0, 1, 0]. w=[-1, 0, 1].
The Attempt at a Solution
Are my answers right for v and w? Can someone right the answer for me? I just want to see how the answer looks like.