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A non-zero vector vec(a) is such that it...

A non-zero vector `vec(a)` is such that its projections along vectors `(hat(i)+hat(j))/(sqrt(2)),(-hat(i)+hat(j))/(sqrt(2))` and `hat(k)` are equal, then unit vector along `vec(a)` is

A

`(sqrt(2)hat(j)-hat(k))/(sqrt(3))`

B

`(hat(j)-sqrt(2)hat(k))/(sqrt(3))`

C

`(sqrt(2))/(sqrt(3))hat(j)+(hat(k))/(sqrt(3))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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