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Show that the vector 7i+4j+3k is perpendicular to the line passing through the points P(-2,2,7) and Q(3,-3,2). Choose the best way to prove it.
  • Compute the inner product beween the given vector and the vector P+Q.
  • This can not be shown with the information given. We need to now a position vector for the line.
  • Let u be the given vector. Compute the dot product between u-P and u-Q.
  • Compute the inner product between the given vector and the vector Q-P.
  • Let u be the given vector. Compute the dot product between u-P and u+Q.
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    Carlos Rodriguez <carlos@math.albany.edu>
    This problem was contributed by a student. It is offered as it is with no warranty of any kind
    Last modified:Tue Sep 26 10:11:29 GMT-0400 (EDT) 2000