The torque ' \( \tau \) ' on a body about a given point is found to be equal to \( \vec{A} \time....

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The torque ' \( \tau \) ' on a body about a given point is found to be equal to \( \vec{A} \times \vec{L} \), where \( A \) is a constant vector and \( L \) is the angular momentum of the body about that point. From this it follows that
(1) \( \frac{d \vec{L}}{d t} \) is perpendicular to \( \vec{L} \) at all instants of time
(2) The component of \( \vec{L} \) in the direction of \( \vec{A} \) does not change with time
(3) The magnitude of \( \vec{L} \) does not change with time
(4) \( \vec{L} \) does not change with time


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