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If vec(p)=hat(i)+hat(j), vec(q)=4hat(k)-...

If `vec(p)=hat(i)+hat(j), vec(q)=4hat(k)-hat(j)` and `vec(r )=hat(i)+hat(k)` then the unit vector in the direction of `3vec(p)+vec(q)-2vec(r )` is

A

`(1)/(3)(hat(i)+2hat(j)+2hat(k))`

B

`(1)/(3)(hat(i)-2hat(j)-2hat(k))`

C

`(1)/(3)(hat(i)-2hat(j)+2hat(k))`

D

`hat(i)+2hat(j)+2hat(k)`

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The correct Answer is:
A
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