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If and the coordinates of are , find the coordinates of .

Solution:

\begin{array}{l} \overrightarrow{A B}=3 \hat{\imath}-\hat{\jmath}+2 \hat{k} \\ \overrightarrow{O A}=-2 \hat{\jmath}-\hat{k} \\ \overrightarrow{A B}=\overrightarrow{O B}-\overrightarrow{O A} \\ \overrightarrow{O B}=(3 \hat{\imath}-\hat{\jmath}+2 \hat{k})+(-2 \hat{\jmath}-\hat{k}) \\ \overrightarrow{O B}=(3 \hat{\imath}-3 \hat{\jmath}+\hat{k}) \end{array}
Coordinates of are