设 $\vec{A}, \vec{B}, \vec{C}$ 为非零矢量，且 $\vec{A} \cdot \vec{B}=0, \vec{A} \times \vec{C}=0$ ，则
$\text{A.}$ $\overrightarrow{\boldsymbol{A}} / / \overrightarrow{\boldsymbol{B}}$ 且 $\overrightarrow{\boldsymbol{B}} \perp \overrightarrow{\boldsymbol{C}}$
$\text{B.}$ $\overrightarrow{\boldsymbol{A}} \perp \overrightarrow{\boldsymbol{B}}$ 且 $\overrightarrow{\boldsymbol{B}} / / \overrightarrow{\boldsymbol{C}}$
$\text{C.}$ $\overrightarrow{\boldsymbol{A}} / / \overrightarrow{\boldsymbol{C}}$ 且 $\overrightarrow{\boldsymbol{B}} \perp \overrightarrow{\boldsymbol{C}}$
$\text{D.}$ $\overrightarrow{\boldsymbol{A}} \perp \overrightarrow{\boldsymbol{C}}$ 且 $\overrightarrow{\boldsymbol{B}} / / \overrightarrow{\boldsymbol{C}}$
$\text{E.}$
$\text{F.}$