A E B ·C Express these as a single vector. A€ ED AC - AB AC + EÀ AE + ED + + DC + CB + BA

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Express the following as a single vector. Let A, B, C, D, E, be the points in the drawn figure
The diagram shows a geometric shape with labeled points A, B, C, D, and E. It appears to be a polygon with intersecting lines within it.

The task is to "Express these as a single vector," meaning to simplify the vector expressions given.

The following vector expressions are provided:

1. **\(\vec{AE} + \vec{ED}\)**
   
2. **\(\vec{AC} - \vec{AB}\)**

3. **\(\vec{AC} + \vec{EA}\)**

4. **\(\vec{AE} + \vec{ED} + \vec{DC} + \vec{CB} + \vec{BA}\)**

The vectors seem to represent directed line segments between these points. The goal is to combine or simplify them into a single vector.
Transcribed Image Text:The diagram shows a geometric shape with labeled points A, B, C, D, and E. It appears to be a polygon with intersecting lines within it. The task is to "Express these as a single vector," meaning to simplify the vector expressions given. The following vector expressions are provided: 1. **\(\vec{AE} + \vec{ED}\)** 2. **\(\vec{AC} - \vec{AB}\)** 3. **\(\vec{AC} + \vec{EA}\)** 4. **\(\vec{AE} + \vec{ED} + \vec{DC} + \vec{CB} + \vec{BA}\)** The vectors seem to represent directed line segments between these points. The goal is to combine or simplify them into a single vector.
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