CBSE 2023 · Region 1 · Set 1 · Q22 · 2 marks
Find all the vectors of magnitude $\displaystyle 3 \sqrt{3}$ which are collinear to vector $\displaystyle \hat{i}+\hat{j}+\hat{k}$.
Marking-scheme solution
$$\text { Unit vector along } \hat{i}+\hat{j}+\hat{k} \text { is } \frac{\hat{i}}{\sqrt{3}}+\frac{\hat{j}}{\sqrt{3}}+\frac{\hat{k}}{\sqrt{3}}Required vectors are $\displaystyle 3 \hat{i}+3 \hat{j}+3 \hat{k}$ and $\displaystyle -3 \hat{i}-3 \hat{j}-3 \hat{k}$
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CBSE Class 12 Mathematics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.