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Find components along x, y and z-axes of...

Find components along x, y and z-axes of the angular momentum L of a particle about origin whose position vector is r and momentum is p with components px, py and pz. Show if the particle moves in x-y plane, the angular momentum has only a z-component.

A

`(xp_(y)-yp_(x)) hatk`

B

`(xp_(y)+yp_(x)) hatk`

C

`(xp_(y)-yp_(x)) hatj`

D

`(xp_(y)+yp_(x)) hatj`

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