If $\overrightarrow {A}, \overrightarrow {B}$ are perpendicular vectors $\overrightarrow {A}=5 \hat {i}+7 \hat {j}-3 \hat {k}.\quad \overrightarrow {B}=2 \hat {i}+2 \hat {j}-c \hat {k}$. The value of $\mathit{c}\;$ is:

Question

$$(a)\;-2 \qquad (b)\;8 \qquad (c)\;-7 \qquad (d)\; -8$$