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Find the shortest distance between the lines `((x+1)/7=(y+1)/-6=(z+1)/1` and `(x-3)/1=(y-5)/-2=(z-7)/1)`

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Find the shortest distance between given lines. (x-1)/1=(y-2)/-1=(z-1)/1 and (x-2)/2=(y+1)/1=(z+1)/2 .

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. 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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  2. Find the shortest distance between the lines vecr = (hati + 2hatj+hatk...

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

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

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  5. Find the shortest distance between the following lines whose vector eq...

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  6. In the following, determine the direction cosines of the normal to the...

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  7. Determine the direction cosines of the normal to the plane and the dis...

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  8. In each of the following cases, determine the direction cosines of the...

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  9. In the following, determine the direction cosines of the normal to the...

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  10. Find the vector equation of a plane, which is at a distance of 7 units...

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  11. Find the cartesian equation of the following planes. vecr.(hati+hatj-h...

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  12. Find the cartesian equation of the following planes. vecr.(2hati+hatj-...

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  13. Find the Cartesian equation of the following plane: vecr cdot [(s-2t)h...

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  14. In the following case, find the coordinates of the foot of the perpend...

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  15. In the following case, find the coordinates of the foot of the perpend...

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  16. In the following cases, find the co-ordinates of the foot of the perpe...

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  17. In the following case, find the coordinates of the foot of the perpend...

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  18. Find the vector and cartesian equations of the plane that passes throu...

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  19. Find the vector and cartesian equations of the plane that passes thro...

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  20. Find the equations of the plane that passes through three points : (1,...

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