CBSE 2026 · Region 4 · Set 2 · Q24 · 2 marks
If ( $\displaystyle 2 \hat{i}+3 \hat{j}+\hat{k}$ ) and ( $\displaystyle 2 \hat{i}+\hat{j}-\hat{k}$ ) represent the sides $\displaystyle \overrightarrow{A B}$ and $\displaystyle \overrightarrow{A C}$ respectively of $\displaystyle \Delta \mathrm{ABC}$, find the vector representing the median through A.
Marking-scheme solution
$\displaystyle \overrightarrow{AB}+\overrightarrow{AC}=4 \hat{i}+4 \hat{j}+0 \hat{k}$
Now, $\displaystyle \overrightarrow{AD}=\dfrac{\overrightarrow{AB}+\overrightarrow{AC}}{2}=2 \hat{i}+2 \hat{j}+0 \hat{k}$
Vector AlgebraAddition of VectorsApplyvery_short_answermedium
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CBSE Class 12 Mathematics past-paper question from the 2026board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.