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Algebra of Vectors — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSAlgebra of Vectors1 Mark
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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