Exercises: Distance Point to a Hyperplane

   Exercise   Find the distance from the point    to the given hyperplane of  .
 a)   (5,3),     :   2 3.
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 b)   (3,1),     :   3
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   Exercise   Find the distance from the point    to the given hyperplane of  .
  a)   (3,1,4),     :   2 1
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  b)   (0,5,2),     :   5
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  c)   (1,3,2),     :  
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   Exercise   In  , find the point  R  on the line  : 3 + 2 2  which is closest to the point  Q(2,2).
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   Exercise   In  , find the point    on the hyperplane  : 4 + 3 3  which is closest to the point  (1,1,1).
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   Exercise   Verify that the given two lines in    are parallel. Then find the distance between them.

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   Exercise   Verify that the given planes in    are parallel. Then find the distance between them.

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