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### Section 5-1 : 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