CBSE 2022 · Region 5 · Set 2 · Q9 · 3 marks

(a)OR(b)

Let $\displaystyle \overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}, \overrightarrow{\mathrm{b}}=\hat{\mathrm{i}}-\hat{\mathrm{j}}$ and $\displaystyle \overrightarrow{\mathrm{c}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}$. If $\displaystyle \hat{\mathrm{n}}$ is a unit vector such that $\displaystyle \overrightarrow{\mathrm{a}} . \hat{\mathrm{n}}=0$ and $\displaystyle \overrightarrow{\mathrm{b}} . \hat{\mathrm{n}}=0$, then find $\displaystyle |\overrightarrow{\mathrm{c}} . \hat{\mathrm{n}}|$.

CBSE Class 12 Mathematics past-paper question from the 2022board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.