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Find the length and the foot of the perp...

Find the length and the foot of the perpendicular from the point `(7, 14, 5)` to the plane `2x+4y-z=2.`

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Find the co-ordinates of the foot of the perpendicular from the point(2,3,7) to the plane 3x-y-z=7 . Also find the length of the perpendicular.

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. 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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  2. 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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  3. Find the length and the foot of the perpendicular from the point (7, 1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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