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Three vectors a=hati+hatj-hatk, b=-hati+...

Three vectors `a=hati+hatj-hatk, b=-hati+2hatj+hatk and c=-hati+2hatj-hatk`, then the unit vector perpendicular to both `a+b` and `b+c` is

A

`hati/sqrt3`

B

`hatk`

C

`hatk/sqrt3`

D

`(hati+hatj+hatk)/(sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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