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Find the length and the foot of the perpendicular from: P(1,1,2) to the plane `2x-2y+4z+5=0`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equation of the plane through the point (1,1,1) and perpendic...

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  2. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

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  3. Find the length and the foot of the perpendicular from: P(1,1,2) to th...

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  4. Find the coordinates of the foot of the perpendicular drawn from the o...

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  5. Find the co-ordinates of the foot of the perpendicular from the point(...

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

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  7. Show that the line L whose vector equation is vecr=2hati-2hatj+3hatk+l...

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  8. State when the line vecr=veca+lambdavecb is parallel to the plane vecr...

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  9. Find the equations of the line through (-1,3,2) and perpendicular to t...

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  10. Find the vector equation of the line passing through the point (3,1,2)...

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  11. Find the vector equation of a line passing through the point with posi...

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

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  13. Find the length of the perpendicular from the point (1,2,3) to the lin...

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  14. Find the point, where the line joining the points (1,3,4) and (-3,5,2)...

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  15. Find the co-ordinates of the point where the line joining the points (...

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

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

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  18. Find the vector equation of the plane passing through three points wit...

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  19. A line makes 90^@, 135^@, 45^@ with x, y and z axes respectively than ...

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  20. Find the direction cosine of a line which makes equal angles with the ...

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