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Find the co-ordinates of the point P, wh...

Find the co-ordinates of the point P, where the line through A(3,-4,-5) and B(2,-3,1) crosses the plane passing through three points L(2,2,1), M(3,0,1) and N(4,-1,0). Also, find the ratio in which P divides the line segment AB.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the vector equation of the line (x-1)/2=(y-2)/-3=(z+3)/4.

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

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  3. Find the co-ordinates of the point P, where the line through A(3,-4,-5...

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

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  5. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  6. Show that the lines (x+1)/-3=(y-3)/2=(z+2)/1 and x/1=(y-7)/-3=(z+7)/2 ...

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  7. If the lines: (x-1)/-3=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)/5...

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  8. Find the length and the foot of the perpendicular from the point (7, 1...

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  9. find the length and the foot of perpendicular drawn from the point (1,...

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

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  11. Find the image of the point hati+3hatj+4hatk in the plane vecr.(2hati-...

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  12. Find the length and foot of perpendicular drawn from the point (3,2,1)...

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  13. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  14. Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane ...

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  15. Find the distance of the line (x+1)/-3=(y-3)/2=(z-2)/1 in the plane x+...

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  16. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  17. Find the ratio in which the plane ax+by+cz+d=0 divides the join of the...

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  18. Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...

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  19. Find the angle between the planes 2x-3y+4z=1 and -x+y=4.

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  20. Find the angle between the planes: vecr.(hati+hatj)=1 and vecr.(hati+h...

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