If ` vec a`, `vec b` and `vec c` are three unit vectors equally inclined to each other at an angle `alpha`. Then the bet

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Q 2681478327.     If ` vec a`, `vec b` and `vec c` are three unit vectors equally inclined to each other at an angle `alpha`. Then the between `vec a` and plane of `vec b` and `vec c` is
A

`theta = cos^(-1) ((cos alpha)/(cos (alpha/2)))`

B

`theta= sin^(-1) ((cos alpha)/(cos (alpha/2)))`

C

`theta= cos^(-1) ((sin (alpha/2))/(sin alpha)`

D

`theta = sin^(-1) ((sin (alpha/2))/(sin alpha))`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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