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Assignment Problems Notice
Please do not email me to get solutions and/or answers to these problems. I will not give them out under any circumstances nor will I respond to any requests to do so. The intent of these problems is for instructors to use them for assignments and having solutions/answers easily available defeats that purpose.
If you are looking for some problems with solutions you can find some by clicking on the "Practice Problems" link above.
If you are looking for some problems with solutions you can find some by clicking on the "Practice Problems" link above.
Section 11.1 : Basic Concepts
- Describe the difference between \(\left( {4, - 1} \right)\) and \(\left\langle {4, - 1} \right\rangle \). Illustrate the difference with a sketch.
For problems 2 – 6 give the vector for the set of points. Find its magnitude and determine if the vector is a unit vector.
- The line segment from \(\left( {6, - 2,3} \right)\) to \(\left( { - 3, - 2,1} \right)\).
- The line segment from \(\displaystyle \left( {1, - \frac{1}{5}} \right)\) to \(\displaystyle \left( {\frac{8}{5},\frac{3}{5}} \right)\).
- The line segment from \(\left( {2, - 1,5} \right)\) to \(\left( {8, - 3, - 6} \right)\).
- The position vector for \(\left( { - 12,4,8} \right)\).
- The position vector for \(\left( {\cos \left( \theta \right),\sin \left( \theta \right)} \right)\) for any angle \(\theta \).
- The vector \(\vec v = \left\langle { - 8, - 3} \right\rangle \) starts at the point \(P = \left( {8,2} \right)\). At what point does the vector end?
- The vector \(\vec v = \left\langle {0,5, - 3} \right\rangle \) starts at the point \(P = \left( { - 1,0,5} \right)\). At what point does the vector end?
- The vector \(\vec v = \left\langle { - 8, - 3} \right\rangle \) ends at the point \(P = \left( {8,2} \right)\). At what point does the vector start?
- The vector \(\vec v = \left\langle {4, - 2,1} \right\rangle \) ends at the point \(P = \left( {7, - 7,2} \right)\). At what point does the vector start?