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Let vec a and vec b are two perpendicul...

Let `vec a` and ` vec b` are two perpendicular unit vectors. If `vec c` is another unit vector equally inclined at angle `theta` to the vectors `vec a` and `vec b`, then the set of exhaustive values of `theta` in `[0, 2 pi]` is (A) `(0,pi/2)` (B) ` [0,pi/4)` (C) `(pi/2,(3pi)/4)` (D) `[pi/4,(3pi)/4]`

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