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Find the direction cosines of x, y an...

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

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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
  1. Define direction cosines of a directed line.

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  2. What are the direction cosines of Y-axis?

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

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  4. What are the direction cosines of Z-axis?

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  5. Write the distance of the point (7, -2, 3) from "X Y"," Y Z and X Z"...

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  6. Write the ratio in which YZ plane divides the segment joining" P"(-2...

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  7. A line makes an angle of 60^0 with each of X-axis and Y-axis. Find ...

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  8. If a line makes angle "alpha","beta\ and\ gamma" with the coordinat...

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  9. Write the inclination of a line with Z-axis, if its direction ratio...

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  10. Find the angel between the vectors with direction ratios proportion...

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  11. Write the distance of the point P(2,3,5) from the xy-plane.

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  12. Write the coordinates the reflections of point (3,\ 5) in X and Y -...

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  13. Find the distance of the point (2, 3, 4) from the x- axis.

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  14. If a line has direction ratios proportional to 2, -1, -2, then what...

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  15. Write the direction cosines of a line parallel to z-axis.

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  16. If a unit vector vec a makes angles pi/3 with hat i ,pi/4 with hat ...

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  17. For every point P(x ,\ y ,\ z) on the xy-plane, a. x=0 b. y=0 c. ...

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  18. For every point (x\ , y ,\ z) on the x- axis (except the origin) a....

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  19. A rectangular parallelepiped is formed by planes drawn through the p...

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  20. A parallelepiped is formed by planes drawn through the points (2, 3...

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