The position vectors of radius are 2\hat{i} + \hat{j} + \hat{k} and 2\hat{i} - 3\hat{j} - \hat{k} while those of linear momentum are 2\hat{i} + 3\hat{j} - \hat{k}. Then the angular momentum is
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Radius vector \vec{r} = \vec{r}_2 - \vec{r}_1 = (2\hat{i} - 3\hat{j} + \hat{k}) - (2\hat{i} + \hat{j} + \hat{k})
\vec{r} = -4 \hat{j}
Linear momentum \vec{p} = 2\hat{i} + 3\hat{j} - \hat{k}
\(\vec{L} = \vec{r} \times \vec{p} = (-4\hat{i}) \times (2\hat{i} + 3\hat{j} - \hat{k})\)
\(= \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ 0 & -4 & 0 \\ 2 & 3 & -1 \end{vmatrix} = 4\hat{i} - 8\hat{k}\)
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