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If veca =hati + hatj-hatk, vecb = - hat...

If `veca =hati + hatj-hatk, vecb = - hati + 2hatj + 2hatk and vecc = - hati +2hatj -hatk` , then a unit vector normal to the vectors `veca + vecb and vecb -vecc`, is

A

`hati`

B

`hatj`

C

`hatk`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
we have,
`veca + vecb = 3hatj +hatk and vecb -vecc = 3hatk`
` (veca + vecb) xx (vecb -vecc) = ( 3hatj +hatk) xx 3hatk = 9 hati`
So, required unit vector = `hati`
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