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

Let `vec(a) = hat(i) + hat(j) + 2hat(k) , vec(b) = 2hat(i) - 3 hat(j) + hat(k) and vec(c ) = hat(i) - hat(j) +hat(k)` be the three given vectors . Let `vec(v )` be a vector in the plane of `vec(a ) and vec(b )` whose projection on `vec(c )` is `2/(sqrt(3))` .If `vec(v) .hat(j) = 7 , " then " vec(v) (hat(i) + hat(k))` is equal to :

A

6

B

7

C

8

D

9

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