A force \( \vec{F}=\alpha \hat{i}+3 \hat{j}+6 \hat{k} \) is acting at a point \( \vec{r}=2 \hat{....

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A force \( \vec{F}=\alpha \hat{i}+3 \hat{j}+6 \hat{k} \) is acting at a point
\( \mathrm{P} \)
\( \vec{r}=2 \hat{i}-6 \hat{j}-12 \hat{k} \). The value of \( \alpha \) for which angular
W
momentum about origin is conserved is
(1) -1
(2) 2
(3) zero
(4) 1


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