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Find the angle between the lines (x-1)...

Find the angle between the lines
`(x-1)/(2)=(y-2)/(3)=(z-3)/(4)` and `(x-2)/(3)=(y-4)/(4)=(z-5)/(5)`

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Find the angle between the pair of lines (x-2)/2=(y-1)/5=(z+3)/(-3) and (x+2)/(-1)=(y-4)/8=(z-5)/4

Prove that the lines : (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-3)/(4)=(z-4)/(5) are coplanar.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the shortest distance between given lines. (x-1)/1=(y-2)/-1=(z-1)...

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  2. Find the S.D. between the lines : (x-1)/2=(y-2)/3=(z-3)/2 and (x+1)/3=...

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  3. Find the angle between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (...

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  4. Find the S.D. between the lines : (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/-...

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  5. Determine whether or not the following pairs of lines intersect : vecr...

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  6. Determine whether or not the following pairs of lines intersect : vecr...

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  7. Determine whether or not the following pairs of lines intersect : (x-1...

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  8. Prove that the lines : (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-...

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  9. Find the shortest distance and the equation of the shortest distance b...

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  10. Find the shortest distance and the vector equation of the line of shor...

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  11. How many cubic feet are there in a room measuring 5m x 10m x 2m?

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  12. Write the vector equation of the following lines and hence find distan...

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  13. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

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  14. Show that the lines : vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) ...

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  15. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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  16. Show that the lines: (x-1)/3=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)...

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  17. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

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  18. Find shortest distance between lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)...

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  19. Show that the following lines are coplanar (5-x)/-4=(y-7)/-4=(z+3)/-5 ...

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  20. Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...

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