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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)

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 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 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 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=(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

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 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 lines whose equations are : vecr=hati+2hatj+hatk+lambda(hati-hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk) .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the shortest distance between the following lines whose vector eq...

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

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

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  4. Find the S.D. between the lines : x/2=y/-3=z/1 and (x-2)/3=(y-1)/-5=(z...

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

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  6. Find the S.D. between the lines : (x-1)/2=(y-2)/3=(z-3)/2 and (x+1)/3=...

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  7. Find the angle between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (...

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  8. Find the S.D. between the lines : (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/-...

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  9. Determine whether or not the following pairs of lines intersect : vecr...

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  10. Determine whether or not the following pairs of lines intersect : vecr...

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  11. Determine whether or not the following pairs of lines intersect : (x-1...

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  12. Prove that the lines : (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-...

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  13. Find the shortest distance and the equation of the shortest distance b...

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  14. Find the shortest distance and the vector equation of the line of shor...

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  15. How many cubic feet are there in a room measuring 5m x 10m x 2m?

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  16. Write the vector equation of the following lines and hence find distan...

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  17. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

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  18. Show that the lines : vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) ...

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  19. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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  20. Show that the lines: (x-1)/3=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)...

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