Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need Solution for R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors Exercise 22.9 Question 8 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 22 Algebra of Vectors  Exercise 22.9 Question 8 Maths Textbook Solution.

Answers (1)

Answer: Direction cosines are equal

Given: Show that the vector \hat{i}+\hat{j}+\hat{k}is equally inclined with the axis OX, OY and OZ.

Hint: Find \mid \vec{a}\midthen direction direction cosines

Explanation: Let \vec{a}=\hat{i}+\hat{j}+\hat{k}=1 \hat{i}+1 \hat{j}+1 \hat{k}

A vector is equally inclined to OX, OY, OZ

i.e. X, Y and Z axis respectively.

If its direction cosines are equal

Direction ratios of \vec{a} are a=1,b=1,c=1

Magnitude of \begin{aligned} &\vec{a}=\sqrt{1^{2}+(1)^{2}+(1)^{2}} \\ \end{aligned}

\begin{aligned} &|\vec{a}|=\sqrt{3} \\ \end{aligned}

Direction cosines of  \begin{aligned} &|\vec{a}| \text { are }\left(\frac{a}{|\vec{a}|}\left|\frac{b}{\mid \vec{b}}\right|^{\prime} \mid \overrightarrow{\vec{c} \mid}\right) \\ \end{aligned}

\begin{aligned} &=\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right) \end{aligned}

Since the direction cosines are equal

\vec{a}=\hat{i}+\hat{j}+\hat{k}is equally inclined to OX, OY and OZ.

Posted by

infoexpert21

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