Mathematics

Problem

2. Find a unit vector perpendicular to each of the vector

\vec{a}+\vec{b}

and

\vec{a}-\vec{b}

, where

\vec{a}=3 \hat{i}+2 \hat{j}+2 \hat{k}

and

\vec{b}=\hat{i}+2 \hat{j}-2 \hat{k}