(For this problem, vectors in the text are shown in boldface rather than with arrows over them. Use the standard coordinate system: x horizontal with positive to the right, y vertical with positive up.) 1. Five pairs of vectors are shown. In each pair, the magnitude of the vectors A and B are given. For which pair of vectors does the vector difference A - B not have a magnitude of 5? O b a O e O d O They all have a magnitude of 5 (b B = 2 B = 4 B = 5 A = 5 A = 3 60° 60° A = 3 A 4 в -1 B = 3

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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5-1

**Vectors and Magnitudes Educational Exercise**

_For this problem, vectors in the text are shown in boldface rather than with arrows over them. Use the standard coordinate system: x horizontal with positive to the right, y vertical with positive up._

### Question 1
Five pairs of vectors are shown in the diagram below. In each pair, the magnitude of the vectors **A** and **B** are given. For which pair of vectors does the vector difference **A** - **B** not have a magnitude of 5?

- [ ] b
- [ ] a
- [ ] e
- [ ] d
- [ ] They all have a magnitude of 5
- [ ] c

### Vector Pairs and Specifications:
1. **Pair a**
   - **A** = 5  (Vector pointing upward to the right at an angle of 60° from the horizontal axis)
   - **B** = 5  (Vector pointing downward to the right at an angle of 60° from the horizontal axis)

2. **Pair b**
   - **A** = 3  (Vector pointing strictly upward)
   - **B** = 4  (Vector pointing strictly to the right)

3. **Pair c**
   - **A** = 3  (Vector pointing strictly to the left)
   - **B** = 2  (Vector pointing strictly downward)

4. **Pair d**
   - **A** = 4  (Vector pointing upward to the left)
   - **B** = 1  (Vector pointing strictly to the right)

5. **Pair e**
   - **A** = 4  (Vector pointing strictly upward)
   - **B** = 3  (Vector pointing strictly to the left)
Transcribed Image Text:**Vectors and Magnitudes Educational Exercise** _For this problem, vectors in the text are shown in boldface rather than with arrows over them. Use the standard coordinate system: x horizontal with positive to the right, y vertical with positive up._ ### Question 1 Five pairs of vectors are shown in the diagram below. In each pair, the magnitude of the vectors **A** and **B** are given. For which pair of vectors does the vector difference **A** - **B** not have a magnitude of 5? - [ ] b - [ ] a - [ ] e - [ ] d - [ ] They all have a magnitude of 5 - [ ] c ### Vector Pairs and Specifications: 1. **Pair a** - **A** = 5 (Vector pointing upward to the right at an angle of 60° from the horizontal axis) - **B** = 5 (Vector pointing downward to the right at an angle of 60° from the horizontal axis) 2. **Pair b** - **A** = 3 (Vector pointing strictly upward) - **B** = 4 (Vector pointing strictly to the right) 3. **Pair c** - **A** = 3 (Vector pointing strictly to the left) - **B** = 2 (Vector pointing strictly downward) 4. **Pair d** - **A** = 4 (Vector pointing upward to the left) - **B** = 1 (Vector pointing strictly to the right) 5. **Pair e** - **A** = 4 (Vector pointing strictly upward) - **B** = 3 (Vector pointing strictly to the left)
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