A unit vector in the xy-plane that makes...

A unit vector in the xy-plane that makes an angle of `pi/4` with the vector `hati+hatj` and an angle of 'pi/3' with the vector `3hati-4hatj` is

A

`hat(i)`

B

`(hat(i) + hat(j))/(sqrt(2))`

C

`(hat(i) - hat(j))/(sqrt(2))`

D

None of these

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The correct Answer is:

D

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