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A unit vector in the XOY-plane that make...

A unit vector in the XOY-plane that makes an angle `30^(@)` with the vector i + j and makes an angle `60^(@)` with i - j is

A

`(1)/(4) [(sqrt(6) + sqrt(2))i - (sqrt(6) - sqrt(2))j]`

B

`(1)/(2)[(sqrt(6) - sqrt(2))i + (sqrt(6) + sqrt(2))j]`

C

`(1)/(4)[(sqrt(6) - sqrt(2))i + (sqrt(6) + sqrt(2))j]`

D

`(1)/(4)[(sqrt(6) + sqrt(2))i + (sqrt(6) - sqrt(2))j]`

Text Solution

Verified by Experts

The correct Answer is:
D
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