For the parallelogram OPQR shown in the sketch, $\overrightarrow{\mathrm{OP}}=a \hat{i}+b \hat{j}$ and $\overrightarrow{\mathrm{OR}}=c \hat{i}+d \hat{j}$. The area of the parallelogram is
(A) $a d-b c$
(B) $a c+b d$
(C) $a d+b c$
(D) $a b-c d$
For the parallelogram OPQR shown in the sketch, $\overrightarrow{\mathrm{OP}}=a \hat{i}+b \hat{j}$ and $\overrightarrow{\mathrm{OR}}=c \hat{i}+d \hat{j}$. The area of the parallelogram is
(A) $a d-b c$
(B) $a c+b d$
(C) $a d+b c$
(D) $a b-c d$