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Find the shortest distance between the following lines whose vector equations are : `vecr=(1-t)hati+(t-2)hatj+(3-2t)hatk and vecr=(s+1)hati+(2s-1)hatj-(2s+1)hatk` where t and s are scalars.

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Find the shortest distance between the following lines whose vector equations are : vecr=(3-t)hati+(4+2t)hatj+(t-2)hatk and vecr=(1+s)hati+(3s-7)hatj+(2s-2)hatk where t and s are scalars.

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

Find the shortest distance between the following lines whose vector equations are : vecr=(1+lambda)hati+(2-lambda)hatj+(1+lambda)hatk and vecr=2(1+mu)hati-(1-mu)hatj+(-1+2mu)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=3hati-15hatj+9hatk+lambda(2hati-7hatj+5hatk) and vecr=(2mu-1)hati+(1+mu)hatj+(9-3mu)hatk

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

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the shortest distance between the lines ((x+1)/7=(y+1)/-6=(z+1)/1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Find the intercepts cut off by the plane 2x+y-z = 5

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