If $C$ is a given non-zero scalar and $\overline{A}$ and $\overline{B}$ are given non-zero vectors such that $\overline{A}$ is perpendicular to $\overline{B}$. If vector $\overline{X}$ is such that $\overline{A} \cdot \overline{X} = C$ and $\overline{A} \times \overline{X} = \overline{B}$,then $\overline{X}$ is given by:

• A
  $\frac{C \overline{A} + \overline{A} \times \overline{B}}{|\overline{A}|^2}$
• B
  $\frac{C \overline{A} \times \overline{B}}{|\overline{A}|^2}$
• C
  $\frac{C \overline{A} - \overline{A} \times \overline{B}}{|\overline{A}|^2}$
• D
  $\frac{C \overline{A} + \overline{B}}{|\overline{A}|^2}$