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Let vec(a) = hat(i) + hat(j) + hat(k),ve...

Let `vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(k)` and `vec(c) = xhat(i) + (x-2)hat(j) - hat(k)`. If the vector `vec(c)` lies in the plane of `vec(a)` and `vec(b)` then x equals

A

0

B

1

C

`-4`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
D
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