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  • Please Solve RD Sharma Class 12 Chapter 27 Straight Line in Space Exercise Very Short Answer Question 13 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 27 Straight Line in Space Exercise Very Short Answer Question 13 Maths Textbook Solution.

Answers (1)

Answer:

Required answer is    d=\left|\frac{\left(\vec{a}_{2}-\vec{a}_{1}\right) \cdot \vec{b}}{|\vec{b}|}\right|

Hint:

Use equation of line in space

Given:

\vec{r}=\vec{a}_{1}+\lambda \vec{b} \text { and } \vec{r}=\vec{a}_{2}+\mu \vec{b} 

Solution:

The shortest distance between the parallel lines

\begin{aligned} &\vec{r}=\vec{a}_{1}+\lambda \vec{b} \\ & \end{aligned}

\vec{r}=\vec{a}_{2}+\mu \vec{b}    is given by,

d=\left|\frac{\left(\vec{a}_{2}-\vec{a}_{1}\right) \cdot \vec{b}}{|\vec{b}|}\right| 

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