Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles39m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
8. Vectors
Geometric Vectors
Problem 7.5
Textbook Question
CONCEPT PREVIEW Refer to vectors a through h below. Make a copy or a sketch of each vector, and then draw a sketch to represent each of the following. For example, find a + e by placing a and e so that their initial points coincide. Then use the parallelogram rule to find the resultant, as shown in the figure on the right.
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![](/channels/images/assetPage/verifiedSolution.png)
1
Identify the vectors labeled as 'a' and 'e' from the provided diagram or description.
Sketch the vectors 'a' and 'e' on a coordinate plane, ensuring that their initial points coincide.
Apply the parallelogram rule: Draw a parallelogram where 'a' and 'e' serve as adjacent sides. The diagonal of this parallelogram starting from the common initial point will represent the resultant vector.
Complete the parallelogram by drawing lines parallel to vector 'a' and vector 'e' at the terminal points of each vector.
The resultant vector, which is the diagonal of the parallelogram, represents the vector sum 'a + e'. Label this vector appropriately on your sketch.
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