First slide
Law of conservation of angular momentum

A force F=αi^+3j^+6k^ is acting at a point r=2i^-6j^-12k^.
The value of α for which angular momentum about origin is conserved is


For the conservation of angular momentum about origin, the torque τ acting on the particle will be zero.

By definition τ=r×F

 Here, r=2i^-6j^-12k^ and F=αi^+3j^+6k^




 But τ=0

  12+12α=0   or   α=-1

 and 6+6α=0   or   α=-1

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