Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve RD Sharma Class 12 Chapter 27 Straight Line in Space Exercise Very Short Answer Question 3 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 27 Straight Line in Space Exercise Very Short Answer Question 3 Maths Textbook Solution.

Answers (1)

Answer:

Required answer is  \lambda \hat{k}

Hint:

Use properties of vector

Given:

Cartesian and vector equation of z-axis

Solution:

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

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

The Cartesian of z-axis is

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

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

Also its vector equation

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

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

=\lambda \hat{k}

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question