Q 2282591437.     Unit vector `hat(c)` is inclined at angle `theta` to unit vectors `hat(a)` and `hat(b)`,

which are perpendicular to each other. For `hat(c)`

`= m (hat(a) + hat(b)) + n (hat(a) xx hat(b)) , m , n` real, `theta` belongs to `..................`

A

`[pi/4, (3pi)/4]`

B

`[pi/4, (-3pi)/4]`

C

`[ -pi/4, (3pi)/4]`

D

`[pi/4, (3pi)/-4]`

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