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Question

Mathematics Question on Vector Algebra

If θ\theta is the angle between the vectors 2i^2j^+4k^2 \hat{i} - 2 \hat{j} +4 \hat{k} and 3i^+j^+2k^3 \hat{i} + \hat{j} + 2 \hat{k}, then value of sin θ\theta is:

A

23\frac{2}{3}

B

27\frac{2}{\sqrt {7}}

C

27\frac{\sqrt {2}}{7}

D

27\sqrt{\frac{2}{7}}

Answer

27\frac{2}{\sqrt {7}}

Explanation

Solution

The correct option is (B): 27\frac{2}{\sqrt {7}}