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Find the vector and cartesian equation of the line passing through the point (2,1,3) and perpendicular to the lines.
`(x-1)/(1)=(y-2)/(2)=(z-3)/(3)` and `(x)/(-2)=(y)/(2)=(z)/(5)`

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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
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  3. Find the vector and cartesian equation of the line passing through the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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