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Model Paper 9 — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSModel Paper 91 Mark
Question
A line passes through the point $A (5,-2.4)$ and it is parallel to the vector $(2 \hat{i}-\hat{j}+3 \hat{k})$. The vector equation of the line is
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Answer

(c) $\vec{r}=(5 \hat{i}-2 \hat{j}+4 \hat{k})+\lambda(2 \hat{i}-\hat{j}+3 \hat{k})$
Explanation: Fixed point is $5 \hat{i}-2 \hat{j}+4 \hat{k}$ and parallel vector is $2 \hat{\imath}-\hat{\jmath}+3 \hat{ k }$
Equation $\vec{r}=5 \hat{\imath}-2 \hat{\jmath}+4 \hat{k}+\lambda(2 \hat{\imath}-\hat{\jmath}+3 \hat{k})$

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