Browse by Stream
QnA
Home
Search for Exam, Articles, Questions
QnA
get app
Go To Your Study Dashboard
  1. Home
  2. Find the direction cosines of a line which makes equal angles with the coordinate axes.          
# School

Find the direction cosines of a line which makes equal angles with the coordinate axes.

 

 

 

 

 
 
 
 
 

Answers (1)
R Ravindra Pindel

Let the direction cosines of the line make an angle \alpha with each of the coordinate axes and direction cosines can be l, m and n .

\therefore l=\cos \alpha ,\: m=\cos \alpha \:\: and\: \: n=\cos \alpha

l^2+m^2+n^2=1

\therefore \cos ^{2}\alpha +\cos ^{2}\alpha+\cos ^{2}\alpha=1

\Rightarrow 3\cos ^{2}\alpha=1

\Rightarrow \cos ^{2}\alpha=\frac{1}{3}

\Rightarrow \cos \alpha=\pm \frac{1}{\sqrt{3}}

Thus the direction cosines are \left ( \pm \frac{1}{\sqrt{3}},\pm \frac{1}{\sqrt{3}},\pm \frac{1}{\sqrt{3}} \right )

Similar Questions

Related Chapters

Preparation Products

Knockout NEET May 2021 (One Month)

An exhaustive E-learning program for the complete preparation of NEET..

₹ 14000/- ₹ 6999/-
Buy Now
Foundation 2021 Class 10th Maths

Master Maths with "Foundation course for class 10th" -AI Enabled Personalized Coaching -200+ Video lectures -Chapter-wise tests.

₹ 350/- ₹ 112/-
Buy Now
Knockout JEE Main April 2021 (One Month)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 14000/- ₹ 6999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
Start Now
 
Exams
Articles
Questions