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  • Please Solve RD Sharma Class 12 Chapter 27 Straight Line in Space Exercise Very Short Answer Question 1 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 27 Straight Line in Space Exercise Very Short Answer Question 1 Maths Textbook Solution.

Answers (1)

Answer:

Required answer is  \lambda \hat{i}

Hint:

Use properties of vector

Given:

Cartesian and vector equation of x-axis

Solution:

Since x-axis passes through the point  \left ( 0,0,0 \right )  having position vector

\vec{a}=a \hat{i}+0 \hat{j}+0 \hat{k}   and parallel to the vector   \vec{b}=1 \hat{i}+0 \hat{j}+0 \hat{k}   having direction ratios proportional to 1, 0, 0. 

The Cartesian equation of x-axis is

\begin{aligned} &\frac{x-0}{1}=\frac{y-0}{0}=\frac{z-0}{0} \\ & \end{aligned}

\frac{x}{1}=\frac{y}{0}=\frac{z}{0}

Also its vector equation is

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

=0 \hat{i}+0 \hat{j}+0 \hat{k}+\lambda(\hat{i}+0 \hat{j}+0 \hat{k}) \\

=\lambda \hat{i}

Posted by

infoexpert27

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