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Find the components along the X,Y,Z-axes...

Find the components along the `X,Y,Z`-axes of the angular momentum J of a particle, whose position vector is r with components `x,y,z` and linear momentum is p with components `p_(x),p_(y) and p_(z)`. Show that if the particle moves only in the xy-plane, then 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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The correct Answer is:
A
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