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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.

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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.?
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`Let v=vhati+. OP=xhati+yhatj`
`take OPxxv(xhati+yhatj)xxvhati`
`=-yvhatk (therefore y"is constant ")`
which is independent of postion .
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