\text { 7. For the following questions: } \vec{A}=-3 \hat{x}+(-2) \hat{z} \text { and } \vec{B}=-3 \hat{y}+5 \hat{z} \text {. } \text { Find } \vec{P} \text {, if }

\vec{P}=\vec{A} \times \vec{B} \text {. Show all steps. } \text { Without any calculations, explain why } \vec{P} \cdot \vec{A} \text { and } \vec{P} \cdot \vec{B} \text { equal zero. } \text { Find } \vec{Q} \text {, if } \vec{Q}=\vec{B} \times \vec{A} \text {. You do not need to show all the steps. }