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Find two unit vectors orthogonal to a = <4,-1, 2> and b = <3, 3, 1>

Find two unit vectors orthogonal to a = <4,-1, 2> and b = <3, 3, 1>
 
First vector = <?, ?, ?>
Second vector = <?, ?, ?>
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1 Answer

ab is orthogonal to both a and b.  Evaluate ab and divide by its magnitude to get a unit vector.  Similarly, -ab is orthogonal to a and b.
 
The 2 unit vectors can be n and -n, where
 
n = (ab) / |ab|
 
Do you know how to evaluate ab?  Can you evaluate |ab| ?  If so, you should be able to finish from here.