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Keeping one vector constant, if directio...

Keeping one vector constant, if direction of other to be added in the first vector is changed continuously, tip of the resultant vector describes a circles, In the following figure vector `vec(a)` is kept constant. When vector `vec(b)` addede to `vec(a)` changes its direction, the tip of the resultant vector `vec(r)=vec(a)+vec(b)` describes circles of radius b with its centre at the tip of vector `vec(a)`. Maximum angle between vector `vec(a)` and the resultant `vec(r)=vec(a)+vec(b)` is

A

`tan^(-1)""((b)/(r))`

B

`tan^(-1)""((b)/(sqrt(a^(2)-b^(2))))`

C

`cos^(-1)(r//a)`

D

`cos^(-1)(a//r)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Angle between `vec(r)` and `vec(b)` is maximum when `vec(r)` is tangent to circle.
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