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If vec(a)=4hat(i)-hat(j),vec(b)=-3hat(i...

If ` vec(a)=4hat(i)-hat(j),vec(b)=-3hat(i)+2hat(j)and vec(c)=-hat(k).` Then the unit vector `hat( r)` along the direction of sum of these vectors will be

A

`hat(r)=(1)/(sqrt3)(hat(i)+hat(j)-hat(k))a`

B

`hat(r)=(1)/(sqrt2)(hat(i)+hat(j)-hat(k))`

C

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

D

`hat(r)=(1)/(sqrt2)(hat(i)+hat(j)+hat(k))`

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A
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