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  4. The radius vector and linear momentum are respectively given by vector 2 hati+2 hatj+ hatk and 2 hati-2 hatj+ hatk . Their angular momentum is

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Q. The radius vector and linear momentum are respectively given by vector $2\hat{i}+2\hat{j}+\hat{k}$ and $2\hat{i}-2\hat{j}+\hat{k}$ . Their angular momentum is

NTA AbhyasNTA Abhyas 2022

Solution:

Angular momentum $\overset{ \rightarrow }{\text{L}} = \overset{ \rightarrow }{\text{r}} \times \overset{ \rightarrow }{\text{p}}$
$=\left(2 \hat{i} + 2 \hat{j} + \hat{k}\right)\times \left(2 \hat{i} - 2 \hat{j} + \hat{k}\right)=4\hat{i}-8\hat{k}$