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Find the vector equation of the line thr...

Find the vector equation of the line through the point (2,-1,-1) and is parallel to the line `6x-2=3y+1=2z-2`.

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Find the equations of the line through the point (1,2,4) and parallel to the line 3x+2y-z=4, x-2y-2z=5.

Find the vector equation for the line through the points : (1,2,2) and (6,4,6) .

Find the equation of the plane through the point (2, -1, -1), parallel to the line (x-1)/1=(y-3)/3=(z-2)/2 and perpendicular to the plane x - 2y - 3z - 4 = 0.

Find the equation of the plane through the point (-1, -1, 2) and (3, 4, 2) and parallel to the line (x-1)/2=(y-2)/3=(z-3)/1

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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...

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  2. Find the vector equation of a line passing through (2, -1, 1) and para...

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

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  4. Find the point on the line (x+2)/(3)=(y+1)/(2)=(z-3)/(2) at a distance...

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  5. Find the coordinates of the point where the line through (3, 4, 1) and...

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  6. Find the coordinates of the point where the line through (3, – 4, – 5)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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