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A particle moves on a given straight lin...

A particle moves on a given straight line with a constant speed v. At a certain time it is at a point P on its straight lline path.O is a fixed point. Show than `vec(OP)xxvec upsilon` is independent of the position P.?

Text Solution

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Let `vecv=vhati & vecOP=xhati+yhatj=x hati+dhatj`
so `vecOPxx vecv=(xhati+dhatj)xxvhati=-dvhatk` (d=is constant) which is independent of position.
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