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Multiple choice

For the parallelogram OPQR shown in the sketch, $\bar{OP} = a \hat{i} + b \hat{j}\hspace{0.2cm} \text{and} \hspace{0.2cm} \bar{OR} = c \hat{i} + D \hat{j}$. The area of the parallelogram is

  1. ad - bc

  2. ac + bd

  3. ad + bc

  4. ab - cd

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