Find a unit vector perpendicular to each of the vector and

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

2. Find a unit vector perpendicular to each of the vector a⃗+b⃗\vec{a}+\vec{b} and a⃗−b⃗\vec{a}-\vec{b}, where a⃗=3i^+2j^+2k^\vec{a}=3 \hat{i}+2 \hat{j}+2 \hat{k} and b⃗=i^+2j^−2k^\vec{b}=\hat{i}+2 \hat{j}-2 \hat{k}.

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