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The value(S) of alpha in [0,2pi] for w...

The value(S) of `alpha in [0,2pi]` for which vector `vec(a) = hat(i) + 3hat(j) + (sin 2 alpha) hat(k)` makes an obtuse angle with the z-axis and the vectors `vec(b) = (tan alpha) hat(i) - hat(j) + 2 sqrt(sin(alpha)/(2))hat(k) and vec(c) = (tan alpha)hat(i) (tan alpha)hat(j) - 3 sqrt(cosec(alpha)/(2))hat(k)` are

A

`tan^(-1) 3`

B

`pi - tan^(-1) 2`

C

`pi + tan^(-1)3`

D

`2pi - tan^(-1) 2`

Text Solution

Verified by Experts

The correct Answer is:
B, D
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