A) \[2\hat{i}-4\hat{k}\]
B) \[4\hat{i}-8\hat{k}\]
C) \[2\hat{i}-4\hat{j}+2\hat{k}\]
D) \[4\hat{i}-8\hat{k}\]
Correct Answer: B
Solution :
Radius vector \[\vec{r}=\overrightarrow{{{r}_{2}}}-\overrightarrow{{{r}_{1}}}=(2\hat{i}-3\hat{j}+\hat{k})-(2\hat{i}+\hat{j}+\hat{k})\] \ \[\vec{r}=-4\hat{j}\] Linear momentum \[\overrightarrow{p}=2\hat{i}+3\hat{j}-\hat{k}\] \[\vec{L}=\vec{r}\times \vec{p}=(-4\hat{j})\times (2\hat{i}+3\hat{j}-\hat{k})\] \[=\left| \,\begin{matrix} {\hat{i}} & {\hat{j}} & {\hat{k}} \\ 0 & -4 & 0 \\ 2 & 3 & -1 \\ \end{matrix}\, \right|\]\[=4\hat{i}-8\hat{k}\]
You need to login to perform this action.
You will be redirected in
3 sec
