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arrow_back Which of the following is the unit vector in direction of $a \times b$ if $a=(2,1,1)$ and $b=(-1,2,2) ?$

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Which of the following is the unit vector in direction of $a \times b$ if $a=(2,1,1)$ and $b=(-1,2,2) ?$

 

A. $\left(-\frac{1}{2}, \frac{1}{2}, 0\right)$

B. $(0,-1,1)$

C. $\left(0,-\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$

D. $(0,1,0)$

E. $(0,-5,5)$

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