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Question: Let <img src="https://cdn.pureessence.tech/canvas_175.png?top_left_x=0&top_left_y=1775&width=300&hei...

Let and c\overrightarrow { \mathrm { c } } be non-coplanar unit vectors equally inclined to one another at an acute angle q. Then [a,b,c]| [ \vec { a } , \vec { b } , \vec { c } ] | in terms of q is equal to

A

(1 + cosq) cos2θ\sqrt { \cos 2 \theta }

B

(1 + cosq) 12cos2θ\sqrt { 1 - 2 \cos 2 \theta }

C

(1 – cosq) 1+2cos2θ\sqrt { 1 + 2 \cos 2 \theta }

D

None of these

Answer

(1 – cosq) 1+2cos2θ\sqrt { 1 + 2 \cos 2 \theta }

Explanation

Solution

[abc]2 =