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Find the length and foot of perpendicula...

Find the length and foot of perpendicular drawn from the point (3,2,1) onto the plane 2x-y+z+1=0. also find the equation of the plane in which they lie.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

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

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

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

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

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

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

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

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

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

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

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  12. Find the angle between the two planes 3x-6y+2z = 7 and 2x+2y-2z = 5

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  13. Show that the plane passing through the points (1,1,1), (1,-7,1) and (...

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  14. Find the equation of the plane passing through the points (1,-1,2) and...

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  15. Find the equation of the plane passing through the points (-1,1,1) and...

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  16. Find the equation of the plane passing through the line (x-1)/2=(y+1)/...

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  17. Obtain the equation of the plane passing through the point (1,-3,-2) a...

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  18. Find the angles between the line vecr=-hati+hatj+2hatk+lambda(3hati+2h...

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  19. Find the co-ordinates of the point, where the line: (x-2)/3=(y+1)/4=(z...

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  20. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is :

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