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Vector Algebra — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVector Algebra1 Mark
Question
In $\triangle A B C$, write the sum of three vectors represented by $\overrightarrow{ AB }, \overrightarrow{ BC }, \overrightarrow{ CA }$ respectively.
✓

Answer

$
\begin{aligned}
\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CA} & =(\overrightarrow{AB}+\overrightarrow{BC})+\overrightarrow{CA} \\
& =\overrightarrow{AC}+\overrightarrow{CA} \\
& =\overrightarrow{AC}-\overrightarrow{AC}=\overrightarrow{0}
\end{aligned}
$

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