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There are two vectors vecA=3hati+hatj an...

There are two vectors `vecA=3hati+hatj` and `vecB=hatj+2hatk`. For these two vectors-
(a) Find the component of `vecA` along `vecB` in vector form.
(b) If `vecA & vecB` are the adjacent sides of a parallalogram then find the magnitude of its area.
(c) Find a unit vector which is perpendicular to both `vecA & vecB`.

A

`vec(A)`

B

`vec(B)`

C

`vec(A)xxvec(B)`

D

`vec(A)` & `vec(B)`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(A)xx(vec(A)xxvec(B))=vec(A)(vec(A).vec(B))-vec(B)(vec(A).vec(A))rArr` this vector lies in plane of `vec(A)` & `vec(B)`
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