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Any vector in an arbitrary direction can...

Any vector in an arbitrary direction can always be replaced by two (or three)-

A

Parallel vectors which have the original vector as their resultant

B

Mutually perpendicular vectors which have the original vector as their resultant

C

Arbitrary vectors which have the original vector as their resultant

D

It is not possible to resolve a vector

Text Solution

Verified by Experts

The correct Answer is:
B
Any vector replaced by two or three mutually perpendicular vectors which have the original vectors as their resultant
In `2- D, vec(A) = A_(x) hat(i) + A_(y) hat(j)`
In `3- D, vec(A)= A_(x) hat(i) + A_(y) hat(j) + A_(z) hat(k)`
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