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A particle moves from position A to posi...

A particle moves from position `A` to position `B` in a path as shown in If the poit vectors `vec r_(1)` and `vec r_(2)` making an angle `theta` between them are give, find the magnitude of displacement.
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Text Solution

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From triangle OAB: `vec r+ Delta vec r =vec r_(2) rArr vec r_(2)- vec r_(1) = Delta vec r`
Hence, `|vec S|=|Delta vec r|=|vec r_(2)- vec r_(1)|=sqrt(r_(1)^(2)+r_(2)^(2)-2r_(2)r_(2) cos theta)`
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