Write PQ + RP + QR in the simplified form. - Vidyadip

Question

Write $\overrightarrow{\text{PQ}}+\overrightarrow{\text{RP}}+\overrightarrow{\text{QR}}$ in the simplified form.

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Answer

We have, $\overrightarrow{\text{PQ}}+\overrightarrow{\text{RP}}+\overrightarrow{\text{QR}}=\overrightarrow{\text{PQ}}+\overrightarrow{\text{QR}}+\overrightarrow{\text{RP}}$

$=\overrightarrow{\text{PR}}+\overrightarrow{\text{RP}}$ $\Big[\therefore\ \overrightarrow{\text{PQ}}+\overrightarrow{\text{QR}}=\overrightarrow{\text{PR}}\Big]$

$=\vec0$

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