A line makes angles 90^(@), 60^(@) , 30^...

A line makes angles `90^(@), 60^(@) , 30^(@)` with the positive direction of X,Y,Z axes respectively. Find its direction cosisnes.

Text Solution

Verified by Experts

The correct Answer is:

`(0,(1)/(2),(sqrt(3))/(2))`

Topper's Solved these Questions

DIRECTION COSINES AND RATIOS
AAKASH SERIES|Exercise EXERCISE - 7.1 (SHORT ANSWER QUESTION)|11 Videos
DIRECTION COSINES AND RATIOS
AAKASH SERIES|Exercise EXERCISE - 7.1 (LONG ANSWER QUESTION)|8 Videos
DIRECTION COSINES AND RATIOS
AAKASH SERIES|Exercise ADVANCED ANALYTICAL SOLVED EXAMPLES|8 Videos
DIRECTION COSINES & RATIOS
AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos
DOT PRODUCT OF TWO VECTORS
AAKASH SERIES|Exercise PRACTICE EXERCISE|57 Videos

Similar Questions

Explore conceptually related problems

The direction ratios of a line are (-6,2,3) Find its direction cosines.

A straight line through P(3,4) makes an angle of 60^(@) with the positive direction of the X-axis. Find the coordinates of the points with the line whre are 5 units away from P.

A straight line passing through A (-2,1) , makes an angle of 30^(@) with the positive direction of the X-axis. Find the points on the straight line whose distance from A is 4 units.

Find the equation of the straight line which makes and angle 60^(@) with the positive direction of x-axis and the y-intercept cut of by it is 3.

If a line makes angles 60^(@), 60^(@) with the positive x-axis and y-axis then the angle made by the line with positive z-axis is

A straight line makes an angle (pi)/3 with positive direction of x-axis measured in anti clock direction and makes positive intercept on y-axis and the line is at a distance of 5 units from origin then its equation is

A straight line passing through (1, 1, 1) makes an angle of 60^(@) with the positive direction of the z-axis, and the cosines of the angles made with the positive directions of y, x-axis are in the ratio sqrt(3):1 . Then the acute angle between the two possible positions of the line is

AAKASH SERIES-DIRECTION COSINES AND RATIOS-EXERCISE - 7.1 (VERY SHORT ANSWER QUESTION)

A line makes angles 90^(@), 60^(@) , 30^(@) with the positive directio...
Text Solution
|
If the d.c's of a line are (1//c,1//c,1c) then find c.
Text Solution
|
If the dirction cosines of a line are ((1)/(2) ,0,n) and n lt 0, then ...
Text Solution
|
A ray makes angles pi//3, pi//3 with bar(OX) and bar(OY) respectively....
Text Solution
|
A straight line is inclined to the axes of x and y at angles of 60^(@)...
Text Solution
|
If alpha, beta, gamma are the angles made by a line with the positive ...
Text Solution
|
If a line makes angles alpha,beta,lambda with the coordinate axes vec...
Text Solution
|
Find the d.c's of a line that makes equal angles with the axes, and fi...
Text Solution
|
Find the direction ratios of the line joining the points (3,4,0) and (...
Text Solution
|
The direction ratios of a line are (-6,2,3) Find its direction cosines...
Text Solution
|
If the direction ratios of a line are (3,4,0) find its direction cosin...
Text Solution
|
If P(sqrt(3),1,2sqrt(3)) is a point in space, find direction cosines ...
Text Solution
|
Find the direction cosines of the line joining the points (-4,1,7),(2,...
Text Solution
|
If P(-2,4,-5) and Q(1,2,3) are two points. Find the direction cosines ...
Text Solution
|
Find the conine of the angle between the lines whose direction cosines...
Text Solution
|
Find the angle between the lines whose direction ratios are (1,1,2)(sq...
Text Solution
|
Show that the lines with direction cosines ((12)/(13),(-3)/(13),(-4)/(...
Text Solution
|
O is the origin, P(2,3,4) and Q(1,k,1) are points such that bar(OP)bot...
Text Solution
|
Find 'x' if the angle between he lines with direction ratios (x,4,5) a...
Text Solution
|
Show that the line through the points (1,-1,2), (3,4,-2) is perpendicu...
Text Solution
|