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Find the shortest distance between the lines `vecr = (hati + 2hatj+hatk) + lambda(hati-hatj+hatk)` and `vecr = 2hati - hatj-hatk + mu(2hati+hatj+2hatk)`

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Find the shortest distance between the lines whose equations are : vecr=hati+2hatj+hatk+lambda(hati-hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk) .

Find the shortest distance between the two given lines vecr=2hati+3hatj+4hatk+lambda(2hati-hatj+hatk) and vecr=3hati-2hatj-hatk+mu(3hati+2hatj-4hatk)

Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lambda(hati-3hatj+2hatk) and vecr=4hati+5hatj+6hatk+lambda(2hati+3hatj+hatk)

Find the shortest distance (S.D.) between the lines : vecr_(1)=hati-2hatj+3hatk+lamda(-hati+hatj-2hatk) and vecr_(2)=hati-hatj-hatk+mu(hati+2hatj-2hatk)

Find the shortest distance between the lines whose equations are : vecr=hati+2hatj+hatk+lambda(hati-2hatj+hatk) and vecr=2hati-hatj-hatk+mu(3hati+hatj+2hatk) .

Find the shortest distance between the lines vecr=6hati+2hatj+2hatk+lamda(hati-2hatj+2hatk) and vecr=-4hati+hatk+mu(3hati-2hatj-hatk) .

Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=-4hati-hatk+mu(3hati-2hatj-2hatk) .

Find the shrotest distance between the lines vecr=hati-7hatj-2hatk+lamda(hati+3hatj+2hatk) and vecr=3hati+4hatj-2hatk+mu(-hati+2hatj+hatk)

find the shortest distance between the lines vecr=6hati-hatj+3hatk+lambda(hati+3hatj+2hatk) and hatr=9hati+hatj-4hatk+mu(hati-2hatj+hatk)

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

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

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

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

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

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

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

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

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

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

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  12. Find the cartesian equations of the following planes: vecr*(4hati+8hat...

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  13. Find the cartesian equations of the following planes: vecr*(2hati+3hat...

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  14. Find the cartesian equations of the following planes:⃗ r ⋅ [ ( s − 2 t...

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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 case, find the coordinates of the foot of the perpend...

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

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

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

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

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