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If the line drawn from (4,-1,2) to the p...

If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at right angles, at the point (-10,5,4), then find the equation of the plane.

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The foot of the perpendicular drawn from the origin to the plane is : (2,-3,-4). Find the equation of the plane.

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.

Find the distance of (-1,2,5) from the plane passing through the point (3,4,5) whose direction ratios are .

Find the distance of the point (1,2,3) from the line joining the points (-1,2,5) and (2,3,4).

Find the distance of the point P(6,5,9) and from the plane through the points (3,-1,2), (5,2,4) and (-1,-1,6).

Find the image of the point in the specified plane : (5,4,-3) in the XY-plane.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the vector and cartesian equations of the plane containing the li...

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  2. Find the equation of the plane through the point (1,1,1) and perpendic...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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