CBSE 2022 · Region 5 · Set 2 · Q1 · 2 marks
Find the vector equation of a line passing through a point with position vector $\displaystyle 2 \hat{i}-\hat{j}+\hat{k}$ and parallel to the line joining the points $\displaystyle -\hat{i}+4 \hat{j}+\hat{k}$ and $\displaystyle \hat{i}+2 \hat{j}+2 \hat{k}$.
Marking-scheme solution
Vector parallel to the required line is \(\displaystyle 2 \hat{i}-2 \hat{j}+\hat{k}\)
Required vector equation of the line
\[\vec{r}=(2 \hat{i}-\hat{j}+\hat{k})+\lambda(2 \hat{i}-2 \hat{j}+\hat{k})
\]
Three Dimensional GeometryEquation of a Line in SpaceApplyvery_short_answermedium
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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.