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PQRS is a parallelogram and oversetrarr(...

PQRS is a parallelogram and `oversetrarr(QS)` and `oversetrarr(PR)` are its diagonals .Show that
`vec(PR)+ vec(QS)-2vec(QR)=0`

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AI Generated Solution

To prove that \( \vec{PR} + \vec{QS} - 2\vec{QR} = 0 \) for the parallelogram PQRS, we will follow these steps: ### Step 1: Understand the vectors in the parallelogram In a parallelogram PQRS, we have: - \( \vec{PQ} \) is one side, - \( \vec{QR} \) is the adjacent side, - \( \vec{PR} \) is the diagonal from point P to point R, - \( \vec{QS} \) is the diagonal from point Q to point S. ...
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