question_answer

If the non-zero vectors \[\overrightarrow{a}\] and \[\overrightarrow{b}\] are perpendicular to each other, then the solution of the equation  \[\overrightarrow{r}\times \overrightarrow{a}=\overrightarrow{b}\] is

A)  \[\overrightarrow{r}=x\overrightarrow{a}+\frac{1}{\overrightarrow{a}.\overrightarrow{a}}\left( \overrightarrow{a}\times \overrightarrow{b} \right)\]

B)  \[\overrightarrow{r}=x\overrightarrow{b}+\frac{1}{\overrightarrow{b}.\overrightarrow{b}}\left( \overrightarrow{a}\times \overrightarrow{b} \right)\]

C)  \[\overrightarrow{r}=x\left( \overrightarrow{a}\times \overrightarrow{b} \right)\]

D)  None of these