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If a.hati=4 then (axx hatj).(2hatj-3hatk...

If `a.hati=4` then `(axx hatj).(2hatj-3hatk)` is equal to

A

12

B

2

C

0

D

`-12`

Text Solution

Verified by Experts

The correct Answer is:
D
`(axxhat(j)).(2hat(j)-3hat(k))=a.{hat(j)xx(2hat(j)-3hat(k))}`
`=a.{-3(hat(j)xxhat(k))}=-3(a.hat(i))`
`=-12" "[ :' a.hat(i)=4," given"]`
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