If $\theta$ is the angle between two vectors $\vec{A}$ and $\vec{B}$,then match the following two columns.

Column $I$	Column $II$
$(A)$ $\vec{A} \cdot \vec{B} = |\vec{A} \times \vec{B}|$	$(p)$ $\theta = 45^{\circ}$ or $135^{\circ}$
$(B)$ $\vec{A} \cdot \vec{B} = B^2$	$(q)$ $\theta = 0^{\circ}$
$(C)$ $|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$	$(r)$ $\vec{A} = \vec{B}$
$(D)$ $|\vec{A} \times \vec{B}| = AB$	$(s)$ $\theta = 90^{\circ}$

• A
  $(A \rightarrow p, B \rightarrow q, C \rightarrow s, D \rightarrow s)$
• B
  $(A \rightarrow q, B \rightarrow r, C \rightarrow p, D \rightarrow s)$
• C
  $(A \rightarrow p, B \rightarrow r, C \rightarrow s, D \rightarrow s)$
• D
  $(A \rightarrow s, B \rightarrow p, C \rightarrow q, D \rightarrow r)$