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Find the equation satisfied by the coordinates of a variable point P(x,y,z) lying in the plane in which the point A(1,0,2),B(2,2,-1),C(1,1,0) lie

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the shortest distance between the following lines whose vector eq...

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  2. Find the vector equation of the following plane in scalar product form...

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  3. Find the equation satisfied by the coordinates of a variable point P(x...

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  4. Find the vector equations of the plane passing through the points R(2...

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  5. Prove that the normal to the plane containing three point whose positi...

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  6. Find the equation of a plane which is at a distance 3sqrt3 units from ...

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  7. Show that the plane whose vector equation is vecr.(hati+2hatj-hatk)=3 ...

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  8. Find the equation of the plane through the points (2,2,-1) and (3,4,2)...

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  9. Find the equation of the plane which passes through the line (x-3)/2=(...

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  10. Find the equation of the plane containing the line (x-3)/7=(y-4)/0=(z-...

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  11. Find the equation of the plane containing the line (x+1)/-3=(y-3)/2=(z...

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  12. Find the equation of the plane passing through the point (1,1,1) and c...

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  13. Find the equation of the plane which is parallel to the line (x-4)/1=(...

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  14. Find the equation of the plane parallel to the line (x-2)/1=(y-1)/3=(z...

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  15. Evaluate int dx/(secx + tanx)

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  16. Find the equation of the line passing through (1,2,3) and parallel to ...

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  17. Find the equation of the plane, which contains two lines: (x-4)/1=(y-3...

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  18. Find the equation of the plane containingg the lines: vecr=hati+hatj+l...

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  19. Find the vector equation of the line (x-1)/2=(y-2)/-3=(z+3)/4.

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  20. Find the co-ordinates of the points where the line through the points ...

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