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The value of hat(i).(hat(j) xx hat(k)...

The value of `hat(i).(hat(j) xx hat(k))+ hat(j). (hat(i) xxhat(k)) + hat(k) . (hat(i) xx hat(j))`

A

0

B

-1

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Given that, `hat(i).(hat(j) xx hat(k))+ hat(j). (hat(i) xxhat(k)) + hat(k) . (hat(i) xx hat(j))`
`=hat(i). hat(i) + hat(j) (-hat(j)) + hat(k).hat(k)`
`(because hat(j) xx hat(k) = hat(i), hat(k)xx hat(i) = hat(j), hat(i) xx hat(j) = hat(k))`
`=1 - 1 + 1 = 1`
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