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A force $\vec{F} = α \hat{i} + 3 \hat{j} + 6 \hat{k}$ 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 :

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Correct option is B

For conservation of angular momentum about originΣτ→net =0⇒r→×F→=0⇒α=−1

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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 :

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A force $\vec{F} = α \hat{i} + 3 \hat{j} + 6 \hat{k}$ 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 :