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Show that the line through the points (4...

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

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

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Show that the line : through (0, 0) and (2, 3) is parallel to the line through (2, 2) and (4, 5) .

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Find the equation of a line through the point (-2,3) and parallel to the line 3x-4y+2=0.

PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
  1. Show that the three lines with direction cosines 12/13, -3/13, -4/13, ...

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

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

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

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

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

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

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

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

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

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

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  12. Find the angle between the lines [x-2]/2=[y-1]/5=[z+3]/-3 and [x+2]/-1...

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  13. Find the angle between the lines x/2=y/2=z/1 and [x-5]/4=[y-2]/1=[z-3]...

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  14. Find the values of p so that the lines (1-x)/3 = (7y-14)/2p = (z-3)/2 ...

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

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  16. Find the shortest distance between the lines vecr = (hati + 2hatj+hatk...

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  17. Find the shortest distance between the lines (x+1)/7 = (y+1)/-6 = (z+1...

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  18. Find the shortest distance between the lines whose vector equations ar...

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  19. Find the shortest distance between the lines whose vector equations ar...

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  20. In the following case, determine the direction cosines of the normal ...

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