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Let vec(a) =hat(i) +2hat(j) +hat(k),vec(...

Let `vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and vec(c ) =hat(i) +hat(j) -hat(k) `, vector in the plane of `vec(a) and vec(b) ` whose projection on `vec(c ) ` is `1/(sqrt(3))` is ______.

A

`4hat(i) +hat(j) -4hat(k)`

B

`4hat(i) - hat(j) +4hat(k)`

C

`3hat(i)+hat(j)-3hat(k)`

D

`hat(i) +hatj -2hat(k)`

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The correct Answer is:
B
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