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If a line angles 90^@, 135^@, 45^@ with ...

If a line angles `90^@, 135^@, 45^@` with the positive x,y and z axis respectively, find its direction cosines.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Write down the direction cosines of the line whose equations are 5x-3=...

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  2. Write the sum of intercepts cut off by the plane vecr*(2hati+hatj-hatk...

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  3. If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis re...

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  4. Find the direction cosines of a line which makes equal angles with the...

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  5. If a line has the direction ratios –18, 12, – 4, then what are its dir...

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

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

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  8. show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...

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  9. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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

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  11. Find the equation of the line which passes through the point (1, 2, 3)...

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  12. Find the equation of the line in vector and in cartesian form that pas...

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  13. Find the cartesian equation of the line which passes through the point...

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  14. The cartesian equation of a line is (x-5)/3 = (y+4)/7 = (z-6)/2. Write...

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  15. Find the vector and the cartesian equations of the lines that passes t...

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  16. Find the vector and the cartesian equations of the line that passes th...

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  17. Find the angle between the following pair of lines: vecr = 2hati-5hatj...

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  18. Find the angle between the following pair of lines: vecr = 3hati+hatj-...

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  19. Find the angle between the following pair of lines: (x-2)/2=(y-1)/5=(z...

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  20. Find the angle between the following pair of lines: x/2=y/2=z/1 and (x...

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