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Section 11.1 : Basic Concepts

For problems 1 – 4 give the vector for the set of points. Find its magnitude and determine if the vector is a unit vector.

  1. The line segment from \(\left( { - 9,2} \right)\) to \(\left( {4, - 1} \right)\). Solution
  2. The line segment from \(\left( {4,5,6} \right)\) to \(\left( {4,6,6} \right)\). Solution
  3. The position vector for \(\left( { - 3,2,10} \right)\). Solution
  4. The position vector for \(\displaystyle \left( {\frac{1}{2}, - \frac{{\sqrt 3 }}{2}} \right)\). Solution
  5. The vector \(\vec v = \left\langle {6, - 4,0} \right\rangle \) starts at the point \(P = \left( { - 2,5, - 1} \right)\). At what point does the vector end? Solution