CBSE 2023 · Region 2 · Set 3 · Q2 · 1 mark

The position vectors of three consecutive vertices of a parallelogram ABCD are $\displaystyle \mathrm{A}(4 \hat{\mathrm{i}}+2 \hat{\mathrm{j}}-6 \hat{\mathrm{k}}), \mathrm{B}(5 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+\hat{\mathrm{k}})$ and $\displaystyle \mathrm{C}(12 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+5 \hat{\mathrm{k}})$. The position vector of $\displaystyle D$ is given by

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.