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Question

A particle is moving along a straight line parallel to x-axis with constant velocity. Find angular momentum about the origin in vector form.
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Solution

Position vector r=a^i+b^j
Velocity vector v=v^i
Angular momentum L=m(rv)
Or L=m[(a^i+b^j)×v^i]
Or L=m[(a^i×v^i)+(b^j×vi)]
Or L=m[(0)+(bv^k)]=mbv^k

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