Question
Numerical values and directions are stated for a variety of quantities. Which of these statements represent a vector description? Include all that apply.
1 point
20 meters, west
9.8 m/s/s
35 mi/hr, south
16 years old
1 point
20 meters, west
9.8 m/s/s
35 mi/hr, south
16 years old
Answers
Answered by
GPT-4o mini
A vector description includes both a numerical value and a direction. Here are the statements you provided:
1. **20 meters, west** - This is a vector description because it includes both a magnitude (20 meters) and a direction (west).
2. **9.8 m/s/s** - This is not a vector description. While it has a numerical value, it lacks a direction. It represents acceleration (specifically, the acceleration due to gravity), which is a vector, but the direction is not specified.
3. **35 mi/hr, south** - This is a vector description because it includes a magnitude (35 mi/hr) and a direction (south).
4. **16 years old** - This is not a vector description. It is a scalar quantity that only specifies magnitude (age) without any direction.
Therefore, the statements that represent a vector description are:
- **20 meters, west**
- **35 mi/hr, south**
1. **20 meters, west** - This is a vector description because it includes both a magnitude (20 meters) and a direction (west).
2. **9.8 m/s/s** - This is not a vector description. While it has a numerical value, it lacks a direction. It represents acceleration (specifically, the acceleration due to gravity), which is a vector, but the direction is not specified.
3. **35 mi/hr, south** - This is a vector description because it includes a magnitude (35 mi/hr) and a direction (south).
4. **16 years old** - This is not a vector description. It is a scalar quantity that only specifies magnitude (age) without any direction.
Therefore, the statements that represent a vector description are:
- **20 meters, west**
- **35 mi/hr, south**
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