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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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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. In the following cases, find the co-ordinates of the foot of the perpe...

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  2. In the following case, find the coordinates of the foot of the perpend...

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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 vector equation of the line passing through (1, 2, 3) and par...

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  5. Find the vector equation of the line passing through (1, 2, 3) and per...

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  6. Find the equation of the plane passing through (a, b, c) and parallel ...

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  7. Find cartesian equations of the plane containing the lines: vecr=2hat...

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  8. Find the angle between the lines: x-2y+z=0=x+2y-2z and x+2y+z=0=3x+9y+...

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  9. Show that the lines : 3x-2y+5=0, y+3z-15=0 and (x-1)/5=(y+5)/-3=z/1 ar...

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

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  11. Find the equation of the plane, which bisects the line joining the poi...

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  12. Find the equation of the plane throught he intersection of the planes ...

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  13. Find the vector equation of the plane through the planes : vecr*(hati+...

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

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  15. Find the Cartesian equation of the plane passing through three non-col...

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  16. Find the equations of the plane that passes through three points : (1,...

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  17. Find the equations of the planes passing through the following points ...

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  18. Find the equation of the plane through three non-collinear points (0, ...

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  19. Find the equation of the plane passing through the points : (3, -1, 2)...

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  20. Find the equation of the plane through three non-collinear points: (2,...

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