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Need Solution for R.D.Sharma Maths Class 12 Chapter 27 Straight Line in Space  Exercise 27.2 Question 14 Maths Textbook Solution.

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Answer: the equation of the line passing through the point will be \therefore \vec{r}=(2 \hat{i}-\hat{j}+3 \hat{k})+\lambda(2 \hat{i}+3 \hat{j}-5 \hat{k})

Given: find the equation of the line passing through the point(2,-1,-3)and parallel to the line \therefore \vec{r}=(2 \hat{i}-\hat{j}+3 \hat{k})+\lambda(2 \hat{i}+3 \hat{j}-5 \hat{k})

Hint: for parallel equation will be: \vec{r}=\vec{a}+\lambda \vec{b}

Solution: direction ratio = 2,3,-5

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

∴the equation will be;

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

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