A) \[\vec{r}=3\vec{q}-\frac{3(\vec{p}.\,\vec{q})}{(\vec{p}.\,\vec{p})}\vec{p}\]
B) \[\vec{r}=-\vec{q}+\left( \frac{\vec{p}.\,\vec{q}}{\vec{p}.\,\vec{p}} \right)\vec{p}\]
C) \[\vec{r}=\vec{q}-\left( \frac{\vec{p}.\,\vec{q}}{\vec{p}.\,\vec{p}} \right)\vec{p}\]
D) \[\vec{r}=-3\vec{q}+\frac{3(\vec{p}.\,\vec{q})}{(\vec{p}.\,\vec{p})}\vec{p}\]
Correct Answer: B
Solution :
\[\overrightarrow{AX}=\frac{\vec{p}.\,\vec{q}}{\left| {\vec{p}} \right|\,\,\left| {\vec{p}} \right|}=\frac{\vec{p}.\,\vec{q}}{{{\left| {\vec{p}} \right|}^{2}}}\vec{p}\] \[\overrightarrow{BX}=\overrightarrow{BA}+\overrightarrow{AX}\] \[=-\vec{q}+\frac{\vec{p}.\,\vec{q}}{{{\left| {\vec{p}} \right|}^{2}}}\vec{p}\]You need to login to perform this action.
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