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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 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

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

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

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the co ordinates of the foot of perpendicular and the length of t...

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  2. Find the shortest distance between the lines : vecr=hati-hatj+lamda(...

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

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

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  5. Find the shortest distance (S.D.) between the lines : vecr=hatj+lamd...

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

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  7. Find the shortest distance between the lines x+1=2y=-12z and x=y+2=6z-...

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  8. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

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  9. Determine whether the following pair of lines intersect : vecr=hati+...

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  10. Find the vector and cartesian equation of the plane which bisects the ...

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  11. Find the equation of the plane passing through the point (3,-3, 1) and...

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  12. Find the co-ordinates of the foot of the perpendicular distance of the...

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  13. Find the equation of the plane passing through (a, b, c) and parallel ...

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  14. A plane meets the coordinates axes in A, B and C such that the centroi...

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  15. Find the direction ratios of the normal to the plane, which passes thr...

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  16. Find the vector equation of the plane passing through the intersection...

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  17. Find the equation of the plane passing through the line of intersectio...

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  18. Find the equation of the plane passing through the line of intersectio...

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  19. Find the equation of the plane which contains the line of intersection...

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  20. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

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