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Find the shortest distance between the lines whose vector equations are `vecr = (hati+2hatj+3hatk) +lambda(hati-3hatj+2hatk)` and `vecr = 4hati+5hatj+6hatk+mu(2hati+3hatj+hatk)`

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1 Find the shortest distance between the lines l_1 and l_2 whose vector equations are: vecr = hati+hatj+lambda(2hati-hatj+hatk) , and vecr = 2hati+hatj-hatk+mu(3hati-5hatj+2hatk)

Find the shortest distance between two lines whose vector 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 following lines whose vector equations are : vecr=(hati+2hatj-4hatk)+lambda(2hati+3hatj+6hatk) and vecr=(3hati+3hatj+5hatk)+mu(-2hati+3hatj+6hatk)

Find the shortest distance between two lines whose vector equations are : vecr=hati-7hatj-2hatk+lambda(hati+3hatj+2hatk) and vecr=-3hati+4hatj-2hatk+mu(-hati+2hatj+hatk)

Find the shortest distance between the lines whose equations are : vecr=(hati-2hatj+3hatk)+lambda(hati+3hatj+4hatk) and vecr=(2hati+hatj+5hatk)+mu(3hati-4hatj-hatk) .

Find the shortest distance between the following lines whose vector equations are : vecr=(4hati-hatj)+lambda(hati+2hatj-3hatk) and vecr=(hati-hatj+2hatk)+mu(2hati+4hatj-5hatk)

Find the shortest distance between the following lines whose vector equations are : vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=-4hati-hatk+mu(3hati-2hatj-2hatk)

Find the shortest distance between the lines whose equations are : vecr=(hati+2hatj+3hatk)+lambda(2hati+3hatj+4hatk) and vecr=(2hati+4hatj+5hatk)+mu(3hati+4hatj+5hatk) .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the shortest distance between the lines vecr = (hati + 2hatj+hatk...

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

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

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

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

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

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

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

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

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

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

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

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

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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 cases, find the co-ordinates of the foot of the perpe...

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

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

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

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

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

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