Home
Class 12
MATHS
Find the direction cosines of a line wh...

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

Text Solution

AI Generated Solution

To find the direction cosines of a line that makes equal angles with the coordinate axes, we can follow these steps: ### Step 1: Define the Direction Cosines Let the direction cosines of the line be denoted as \( l, m, n \). Since the line makes equal angles with the coordinate axes, we have: \[ l = m = n = \cos \theta \] for some angle \( \theta \). ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 11.3|14 Videos
  • THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|30 Videos
  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise EXERCISE 1.3|14 Videos
  • VECTOR ALGEBRA

    NCERT ENGLISH|Exercise Exercise 10.5|7 Videos

Similar Questions

Explore conceptually related problems

What are the direction cosines of a line, which makes equal angles with the co-ordinates axes?

A normal line with positive direction cosines to the plane P makes equal angles with the coordinate axis. The distance of the point A(1, 2, 3) from the line (x-1)/(1)=(y+2)/(1)=(z-3)/(2) measured parallel to the plane P is equal to

Write the direction cosines of a line equally inclined to be three coordinate axes.

What are the direction cosines of a line which is equally inclined to the axes?

A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

The direction cosines of a line equally inclined to the axes are:

(i) A line OP through origin O is inclined at 60^(@) and 30^(@) to OY and OZ respectively . Find the angle at which it is inclined to OX (ii) What are the direction cosines of a line which of a line which is equally inclined to the axes ?

Find the projection of the line segment joining (2,-1,3) and (4, 2, 5) on a line which makes equal acute angles with co-ordinate axes.