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If a line makes angle 90o, 60oand 30owi...

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

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To find the direction cosines of a line that makes angles of \(90^\circ\), \(60^\circ\), and \(30^\circ\) with the positive directions of the x, y, and z axes respectively, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Angles**: - The angles made with the axes are: - \( \alpha = 90^\circ \) (with the x-axis) - \( \beta = 60^\circ \) (with the y-axis) ...
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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
  1. If ,"l"1,"m"1,("\ n")1("\ and\ l")2,"m"2,"n"2 be the direction cosi...

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  2. The angel between the two diagonals of a cube is a. 30^0 b. 45^0 c. ...

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  3. If a line makes angle 90o, 60oand 30owith the positive direction of ...

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  4. if a line has direction ratio 2,-1,-2,determine its direction cosine

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  5. Find the direction cosines of the line passing through two points

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  6. Using direction ratios show that the points A(2,3,-4), B(1,-2,3) an...

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  7. Find the direction cosines of the sides of the triangle whose vertic...

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

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  9. Find the acute angle between the lines whose direction ratios are p...

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  10. Show that the points (2,3,4),(-1,-2,1),(5,8,7) are collinear.

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  11. Show that the line through the points (4, 7, 8), (2, 3, 4)is parallel...

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  12. Show that the line joining the origin to the point (2,1,1) is perpe...

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  13. Find the angle between the lines whose direction ratios are proport...

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  14. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

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  15. Find the direction cosines of the lines, connected by the relations...

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

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

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

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

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  20. Define direction cosines of a directed line.

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