Find the direction cosines of x, y and z-axis. from Mathematics

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsShort Answer Type

1. If a line makes angles 90°, 135°, 45° with x, y and z-axes respectively, find its direction cosines.
439 Views

2.

Can a directed line have direction angles 45°, 60°, 120°?

421 Views

3. Can a directed line have direction angles 45°, 45°, 60°?
202 Views

4.

A line makes an angle of straight pi over 4 with each of y-axis and z-axis. Find the angle made by it with x-axis. 

252 Views

Advertisement
Advertisement

5. Find the direction cosines of x, y and z-axis.


The x-axis makes angles 0°, 90° and 90° with x, y and z-axis.
∴  direction cosines of x-axis are cos 0°, cos 90°, cos 90° i.e. 1, 0. 0
Again y-axis makes angles 90°, 0°, 90° with x, y and z-axis.
∴ direction cosines of y-axes are cos 90°, cos 0°, cos 90° i.e. 0, 1,0.
Also z-axis makes angles 90°, 90°, 0° with x, y and z-axis.
∴   direction cosines of z-axis and cos 90°, cos 90°, cos 0° i.e. 0, 0, 1.

479 Views

Advertisement
6. Find the direction-cosines of a line which makes equal angles with the axes. How many such lines are there?
131 Views

7.

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

340 Views

8.

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

93 Views

Advertisement
9. If a line has the direction ratios – 18, 12, – 4. then what are its direction cosines?
94 Views

10. Find the direction ratios and the direction cosines of the lines joining the pairs of points:
 (–2, 1, 0), (3, 2, 1).
103 Views

Advertisement