Determine all real values of for which the angle between the vectors and is .

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

Problem

Determine all real values of kk for which the angle between the vectors a⃗=i+2j+kk\vec a=\mathbf{i}+2\mathbf{j}+k\mathbf{k} and b⃗=2i−j+2k\vec b=2\mathbf{i}-\mathbf{j}+2\mathbf{k} is 60∘60^{\circ}.

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