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Position vector hat(k) is rotated about ...

Position vector `hat(k)` is rotated about the origin by angle `135^(@)` in such a way that the plane made by it bisects the angle between `hat(i)` and `hat(j)` .Then its new position is

A

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

B

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

C

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

D

none of these

Text Solution

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The correct Answer is:
B
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