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  • Please solve RD Sharma class 12 chapter Straight Line in Space exercise 27.5 question 8 maths textbook solution

Please solve RD Sharma class 12 chapter Straight Line in Space exercise 27.5 question 8 maths textbook solution

Answers (1)

Answer: D=\frac{1}{7}

Hint: using formula distance between \parallel line  \left|\frac{\left(\overrightarrow{a_{2}}-\overrightarrow{a_{1}}\right) \vec{b}}{\vec{b}}\right|

Given: \overrightarrow{8}=\hat{\imath}+2 \hat{\jmath}-4 \hat{k}++\lambda(2 \hat{\imath}-3 \hat{\jmath}+6 \hat{k}) \text { and }

            \overrightarrow{8}=3 \hat{\imath}+3 \hat{\jmath}-5 \hat{k}+\mu(2 \hat{\imath}+3 \hat{\jmath}+6 \hat{k})

Solution:

By the given formula,

\begin{aligned} &=\left|\frac{(2 \hat{\imath}+\hat{\jmath}-\hat{k})(2 \hat{i}+3 \hat{j}+6 \hat{k})}{\sqrt{4+9+36}}\right| \\\\ &=\frac{4+3-6}{\sqrt{49}} \end{aligned}

\begin{aligned} &=\frac{4+3-6}{7} \\\\ &=1 / 7 \end{aligned}

 

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