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## Homework Statement

Given the vectors

u = (2, 0, 1, -4)

v = (2, 3, 0, 1)

Find any unit vector orthogonal to both of them

## Homework Equations

I know that two vectors are orthogonal if their dot product is zero...

## The Attempt at a Solution

I don't even know how to begin! I know the unit vector for one vector is the vector over its magnitude, but what about two of them? How do I find something that's orthogonal to both at the same time?

Please help ASAP! :) Thanks.