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A particle moves along a line with a con...

A particle moves along a line with a constant speed v. At a certain time it is at a point P on its straight line path, O is fixed point. Prove that `(vecOPxxvecv)` is independent of the position P.

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The particle moves on the straight line `P_1` t speed v from the figure
`vec(OP)xxv=(OP)v sin hat n, v (OP) sin theta hatn
=v(OQ)hat n`
It can be seen from theure, `OQ=OP=sin theta, =OP_1 sin theta`So, whatever may be the position of the particle the magnitude and direction of `vec(OP)xxvecv` remain constant
`vec(OP)xxvecv` is independent of the position P.
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