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There are two vector vec(A)=3hat(i)+hat(...

There are two vector `vec(A)=3hat(i)+hat(j)` and `vec(B)=hat(j)+2hat(k)`. For these two vectors-
(i) Find the component of `vec(A)` along `vec(B)` and perpendicular to `vec(B)` in vector form.
(ii) If `vec(A)` & `vec(B)` are the adjacent sides of parallelogram then find the magnitude of its area.
(iii) Find a unit vector which is perpendicular to both `vec(A)` & `vec(B)`.

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