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If vec(A)=-hat(i)+ x hat(j) - 3 hat(k) a...

If `vec(A)=-hat(i)+ x hat(j) - 3 hat(k)` and `vec(B) = 2hat(i) - hat(k)` then the value(s) of `x` for which the dot product of `bar(A)` & `bar(B)` is equal to unity :

A

`-1`

B

`1`

C

`2`

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D

`overset(bar)(A).overset(bar)(B) = 1`
`- 2 + 0 + 3 = 1`
`overset(bar)(A)overset(bar)(B) = 1` for any value of `'x'`. Hence all four options are correect.
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