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find a vector perpendicular to two 3d vectors

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The question in my textbook says "Find a vector perpendicular to both (-1, 1, -3) and (-2, 3, -3)"

The solutions says enter image description here

What I do not understand is why they say "let z be a constant." I can only guess that it has something do with the fact the the two given vectors have the same z coordinate.


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