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Write the vector equation of the followi...

Write the vector equation of the following lines and hence find distance between them `(x-1)/(2)=(y-2)/(3)=(z+4)/(6),(x-3)/(4)=(y-3)/(6)=(z+5)/(12)`

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Find the angle between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-4)/(4)=(z-5)/(5)

Find shortest distance between lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-4)/4=(z-5)/5

Find the angle between the lines (x-3)/2=(y-5)/3=(z+5)/4 and (x+3)/1=(y-4)/2=(z-5)/1 .

Find the angle between the following lines (x+1)/(1)=(y-4)/(1)=(z-5)/(2) and (x+3)/(3)=(y-2)/(5)=(z+5)/(4)

Find the shortest distance between the lines : (x+1)/5=(y+1)/-6=(z+1)/2 and (x-3)/4=(y-5)/-2=(z-7)/1 .

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lam...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the equations of the perpendicular from the point (3, -1, 11) to...

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  20. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

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