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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

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