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Find the vector and cartesian equation of a line through the point (1, – 1, 1) and perpendicular to the lines joining the points (4, 3, 2), (1, -1,0) and (1, 2,-1), (2, 1, 1).

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A, C, D
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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the coordinates of the point where the line through (3, – 4, – 5)...

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  2. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

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  3. Find the vector and cartesian equation of a line through the point (1,...

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  4. Find the vector and cartesian equation of the line passing through the...

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  5. Find the equation of the line passing through the point (2, -1, 3) and...

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  6. Find the equation of a line passing through the points A(0, 6, -9) and...

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  7. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

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  8. Find the co ordinates of the foot of perpendicular and the length of t...

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

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

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

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

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

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

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

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

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

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

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

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

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