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Find the shortest distance between the 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`

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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.

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.

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)

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=(lambda-1)hati+(lambda-1)hatj-(1+lambda)hatk and vecr=(1-mu)hati+(2mu-1)hatj+(mu+2)hatk

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

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=(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)

PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
  1. Find the shortest distance between the lines (x+1)/7 = (y+1)/-6 = (z+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 lines whose vector equations ar...

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

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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 equation of the following plane: vecr cdot (hati+ha...

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  10. Find the Cartesian equation of the following plane: vecr cdot (2hati+3...

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

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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 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. 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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