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Could someone please review my work and see if it is correct. Thanks

1. The problem statement, all variables and given/known data

Find two unit vectors orthogonal to both given vectors.

i + j + k, 3i + k

2. Relevant equations

3. The attempt at a solution

So I used cross product and got A x B= i+2j-3k

Then I got magnitude: to be √ (14)

problem asks to rationalize denominator and I eventually get..

lower values: <-√(14)/14 i, -√(14)/7 j, 3√(14)/14 k>

larger values: <√(14)/14 i, √(14)/7 j, -3√(14)/14 k>

I just want to make sure that I did everything correctly.

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# Homework Help: Vector help

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