If a line has direction ratios 2, -1, -2...

If a line has direction ratios 2, -1, -2, determine its direction cosines.

Text Solution

Verified by Experts

The correct Answer is:

`2/3,(-1)/(3),(-2)/(3)`

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|173 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise PRACTICE WORK |69 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos
VECTOR ALGEBRA
KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

If a line has direction cosines 2/3,-1/3,-2/3, then find its direction.

If a line has the direction ratios –18, 12, – 4, then what are its direction cosines ?

If a vector vec( r ) has magnitude 14 and direction ratios 2, 3, -6. Then find the direction cosines and components of vec( r ) , given that bar( r ) makes an acute angle with X - axis.

A vector vec( r ) has length 21 and directi9on ratio 2,-3,6 . Find the direction cosines and components of vec( r ) given that vec( r ) makes an acute angle with X- axis.

If a vector vecr is in the direction of X- axis then find its direction cosines.

If a line makes angle 90^@, 60^@" and "30^@ with the positive direction of x, y and z-axis respectively, find its direction cosines.

If O is the origin and A is (a, b, c), then find the direction cosines of the line OA and the equation of plane through A at right angle to OA.

How will you determine the direction of torque?

The direction cosines of two lines are 1, -2,-2 and 0, 2, 1. Find the direction cosines of the line which is perpendicular to both the lines,

Write the direction ratios of the vector r=hati-hatj+2hatk and hence calculate its direction cosines.

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK

If a line makes angle 90^@, 60^@" and "30^@ with the positive directio...
Text Solution
|
If a line has direction ratios 2, -1, -2, determine its direction cosi...
Text Solution
|
Find the direction cosines of the line passing through the two points ...
Text Solution
|
Find the direction cosines of x, y and z- axis.
Text Solution
|
Show that the points A(2, 3, -4), B(1, - 2, 3) and C(3, 8, - 11) are c...
Text Solution
|
Find the vector and the Cartesian equations of the line through the po...
Text Solution
|
Find the vector equation for the line passing through the points (-1, ...
Text Solution
|
The Cartesian equation of a line is (x+3)/(2)=(y-5)/(4)=(z+6)/(2) ...
Text Solution
|
Find the angle between the lines vecr = (3 + lambda)hati + 2(1 + l...
Text Solution
|
The angle "bet"^(n) two line ( x+3)/(3) = (y-1)/(5) = (z +3)/(4...
Text Solution
|
Find the shortest distance between the lines l1 and l2 whose vector eq...
Text Solution
|
Find the distance between the lines l1 and l2 given by vecr=hati+2hatj...
Text Solution
|
Find the vector equation of the plane which is at a distance of (6)/(s...
Text Solution
|
Find the direction cosines of the unit vector perpendicular to the pla...
Text Solution
|
Find the distance of the plane 2x – 3y + 4z - 6 = 0 from the origin.
Text Solution
|
Find the coordinates of the foot of the perpendicular drawn from the o...
Text Solution
|
Find the vector and cartesian equations of the plane which passes thro...
Text Solution
|
Find the vector equations of the plane passing through the points R(2,...
Text Solution
|
Find the equation of the plane with intercepts 2, 3 and 4 on the x, y ...
Text Solution
|
Find the vector equation of the plane passing through the intersection...
Text Solution
|