The sine of the angle between the vector and is

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

The sine of the angle between the vector a=3i^+j^+k^\mathbf{a} = 3\hat{i} + \hat{j} + \hat{k} and b=2i^−2j^+k^\mathbf{b} = 2\hat{i} - 2\hat{j} + \hat{k} is (1) 7499\sqrt{\frac{74}{99}} (2) 2599\sqrt{\frac{25}{99}} (3) 3799\sqrt{\frac{37}{99}} (4) 541\frac{5}{\sqrt{41}}

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