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

1
2
2
zero
3
1
4
-1

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