Let \( A B C D \) be a parallelogram whose diagonals intersect at \( P \) and let \( O \) be the...

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Let \( A B C D \) be a parallelogram whose diagonals intersect at \( P \) and let \( O \) be the origin. Then prove that \( \overrightarrow{O A}+\overrightarrow{O B}+\overrightarrow{O C}+\overrightarrow{O D}=4 \overrightarrow{O P} \)
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