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Question
Write \[\overrightarrow{PQ} + \overrightarrow{RP} + \overrightarrow{QR}\] in the simplified form.
Sum
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Solution
We have,
\[\overrightarrow{PQ} + \overrightarrow{RP} + \overrightarrow{QR}\]
\[= \overrightarrow{PQ} + \overrightarrow{QR} + \overrightarrow{RP}\]
\[= \overrightarrow{PR} + \overrightarrow{RP}\] [∴ \[\overrightarrow{PQ} + \overrightarrow{QR} =\overrightarrow{PR}\] ]
\[= \overrightarrow{0}\]
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