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Show that the line passing through the p...

Show that the line passing through the points (4, 7, 8) and (2, 3, 4) is parallel to the line passing through the points (-1, -2, 1) and (1, 2, 5).

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Find the slope of the lines : (a) Passing through the points (3, -2) and (-1, 4),

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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. The direction cosines of two lines are 1, -2,-2 and 0, 2, 1. Find the ...

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  2. The direction cosines of two lines are given by the following equation...

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

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  4. Show that the line passing through (1, -1, 2) and (3, 4, -2) is perpen...

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  5. Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/...

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  6. Show that the lines (x-5)/(7)=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpe...

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  7. Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=...

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  8. Find the co-ordinates of the point where the line through A(3, 4, 1) a...

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  9. Find the coordinates of the foot of perpendicular drawn from the point...

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  10. Find the foot of perpendicular from the point (0, 2, 3) on the line (x...

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  11. Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...

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  12. Find the equation of the plane passing through the points (1, 2, 3) an...

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  13. Find the equation of the plane passing through the line of intersectio...

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  14. Find the equation of the plane passing through the point (3, 4, -1) an...

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  15. Find the equation of the plane passing through the line of intersectio...

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  16. If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...

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  17. Find the vector equation of the plane containing the lines vecr=(hati+...

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  18. Find the equation of the plane containing two parallel lines (x-4)/(1)...

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  19. Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the...

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  20. Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+ha...

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