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

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Find the shortest distance between the lines vecr = (hati + 2hatj+hatk) + lambda(hati-hatj+hatk) and vecr = 2hati - hatj-hatk + mu(2hati+hatj+2hatk)

Find the shortest distance (S.D.) between the lines vecr=3hati+5hatj+7hatk+lamda(hati-2hatj+hatk) and vecr=-hati-hatj-hatk+lamda(7hati-6hatj+hatk)

find the shortest distance between the lines vecr=6hati-hatj+3hatk+lambda(hati+3hatj+2hatk) and hatr=9hati+hatj-4hatk+mu(hati-2hatj+hatk)

Find the shortest distance between the lines vecr=6hati+2hatj+2hatk+lamda(hati-2hatj+2hatk) and vecr=-4hati+hatk+mu(3hati-2hatj-hatk) .

Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=-4hati-hatk+mu(3hati-2hatj-2hatk) .

Find the shortest distance between the two given lines vecr=6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr=4hati-hatk+mu(3hati-2hatj-2hatk)

Find the shrotest distance between the lines vecr=hati-7hatj-2hatk+lamda(hati+3hatj+2hatk) and vecr=3hati+4hatj-2hatk+mu(-hati+2hatj+hatk)

Find the shortest distance between the two given lines vecr=2hati+3hatj+4hatk+lambda(2hati-hatj+hatk) and vecr=3hati-2hatj-hatk+mu(3hati+2hatj-4hatk)

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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the shortest distance between the lines : vecr=hati-hatj+lamda(...

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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 lines vecr=hati+2hatj+3hatk+lam...

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

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

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

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

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

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

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

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

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

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

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

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

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

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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 which contains the line of intersection...

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

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  20. Find the equation of the plane passing through the points (3, 4, 1), (...

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