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Define direction cosines of a directed l...

Define direction cosines of a directed line.

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can -1/(2sqrt(2))-1/sqrt(2),-1/sqrt(3) be the direction cosines of any directed line? Justify your answer.

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Prove that 1,1,1 cannot be direction cosines of a straight line.

If a, b, c are the angles that a line makes with the positive directions of x, y and z axis, respectively, then the direction cosines of the lines are

If 1/2,1/3,n are direction cosines of a line, then the value of n is

If l_1, m_1, n_2 ; l_2, m_2, n_2, be the direction cosines of two concurrent lines, then direction cosines of the line bisecting the angles between them are proportional to

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(4) Find the direction cosines of the line joining the points (2,3,4) and (4,5,6).

RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
  1. Find the angle between the lines whose direction cosine are given by...

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  2. Find the angle between the lines whose direction cosine are given by...

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  3. Define direction cosines of a directed line.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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