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  • Provide Solution for RD Sharma Class 12 Chapter 27 Straight Line in Space Exercise Very Short Answer Question 22

Provide Solution for RD Sharma Class 12 Chapter 27 Straight Line in Space Exercise Very Short Answer Question 22

Answers (1)

Answer:

Required answer is  \vec{r}=(3 \hat{i}+4 \hat{j}+5 \hat{k})+\lambda(2 \hat{i}+2 \hat{j}-3 \hat{k})

Hint:

Use equation of a line in space.

Given:

Point  \left ( 3,4,5 \right )  and parallel vector  2 \hat{i}+2 \hat{j}-3 \hat{k}

Solution:

The line is passing through the point  \left ( 3,4,5 \right )  through the point having position vector is  \vec{a}=3 \hat{i}+4 \hat{j}+5 \hat{k}  and parallel to the vector  \vec{b}=2 \hat{i}+2 \hat{j}-3 \hat{k}

\begin{aligned} &\vec{r}=\vec{a}+\lambda \vec{b} \\ & \end{aligned}

\vec{r}=(3 \hat{i}+4 \hat{j}+5 \hat{k})+\lambda(2 \hat{i}+2 \hat{j}-3 \hat{k})

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