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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 `v= v hati`

`OP = xhati+yhatj`
Take `Opxxv = (xahti + yhati)xx vhati`
`=-yvhatk`
= constant
Hence, `Opxxv`, which in independent of position of `P`.
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