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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 with the vector `3hati-4hatj` is

A

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

B

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

C

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

D

None of these

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The correct Answer is:
D
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