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If the angle between the vectors vec(a)=...

If the angle between the vectors `vec(a)=hat(i)+(cos x)hat(j)+hat(k)` and
`vec(b) =(sin^(2)x-sin x)hat(i)-(cos x)hat(j)+(3-4sin x)hat(k)`
is obutse and x in `(0,(pi)/(2))`, then the exhaustive set of values of 'x' is equal to-

A

`x in(0, (pi)/(6))`

B

`x in((pi)/(6), (pi)/(2))`

C

`x in((pi)/(6), (pi)/(3))`

D

`x in((pi)/(3), (pi)/(2))`

Text Solution

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The correct Answer is:
B
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