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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 P(7,14,5) to the plane `2x+4y-z=2`. Also find the image of point P in the plane.

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The correct Answer is:
`sqrt(189)` units
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OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
  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 P(7,1...

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

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  5. Find the shortest distance between the lines ((x+1)/7=(y+1)/-6=(z+1)/1...

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  6. Find the co-ordinates of the points where the line through the points ...

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  7. Find the vector equation of the plane which is at a distance of 7 unit...

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  8. Find the cartesian equation of plane vec(r)*(hat(i)+hat(j)-hat(k))=2

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  9. Find the co-ordinates of the foot of the perpendicular drawn from the ...

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

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  11. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  12. Find the intercepts cut off by the plane 2x+y-z = 5

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  13. Find the vector equation of the plane through the intersection of the ...

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  14. Find the vector equation of plane passing through the intersection of ...

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  15. Find the equation of the plane through the intersection of the planes ...

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  16. Find the equation of the plane passing through the line of intersectio...

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  17. Find the angle between the planes whose vector equations are vec(r)(...

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  18. Find the vector equation of plane that passes through the point (1,0,-...

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  19. If a line has direction ratios -18,12,-4, then what are its direction ...

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  20. Find the direction cosines of the sides of the triangle whose vertices...

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