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Find the angle between the pairs of line...

Find the angle between the pairs of lines with direction ratios:<`a,b,c`>, <`b-c,c-a,a-b`>

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equation of a line parallel to x-axis and passing through the...

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  2. Find the angle between the pairs of lines with direction ratios: <5,12...

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  3. Find the angle between the pairs of lines with direction ratios:<a,b,c...

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  4. The angle between a line with direction ratios proportional to 2, 2, ...

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  5. Find the angle between the following pairs of lines : vecr=3hati+2hatj...

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

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  7. Find the angle between the following pairs of lines : (x-2)/2=(y-1)/5=...

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  8. Find the angle between the following pairs of lines : (5-x)/3=(y+3)/-4...

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  9. Find the angle between the following lines (x+1)/(1)=(y-4)/(1)=(z-5)...

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  10. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

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  11. 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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  12. Show that the lines : (x-3)/2=(y+1)/-3=(z-2)/4 and (x+2)/2=(y-4)/4=(z+...

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  13. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

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  14. Find k so that the lines : (x-3)/2=(y+1)/3=(z-2)/(2k) and (x+2)/1=(4-y...

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

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

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  17. The cartesian equations of a line are 3x + 1 = 6y - 2 = 1 - z. Find th...

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  18. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

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  19. Write the equation of a line, parallel to the line (x-2)/-3=(y+3)/2=(z...

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  20. Find the equation of the line perpendicular to the lines : vecr=(3hati...

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