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Prove that the lines : (x-1)/(2)=(y-2)/(...

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.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Determine whether or not the following pairs of lines intersect : vecr...

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

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

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

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

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

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

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

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

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

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

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

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  15. 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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  16. Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...

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  17. Find the equations the lines joining the following pair of vertices : ...

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  18. Find the equations the lines joining the following pair of vertices: (...

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

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

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