Select three vectors and construct vector diagram including the sum (s ) as shown in the following diagram. You may choose your own magnitudes and directions for each vector. V Sum insluolso Inoi 1F1 20.6 Ao5.0 b 20.0inem no JoTSum bnoosA Isuron) walod novig slumol odi gnieu (lainomisqo) stab botsl values InutsA-Isinemioqp 排习 -10nd nof Components 20 + 15.5 fitue lo obtingem.no TOTO 10 + noitoonib no OTIS 90 (d) 17.7" 11.2 wolod gosga orit ni enoiteluolo Twod2 76.0 26 6 10 20 40 2. Record your data in the following table. Simulated Data: Magnitude ( ) Direction ( ) X- Component Y-Component V, V3 151= 20.6 14.9

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### Vector Construction and Analysis

#### Instructions:
1. **Vector Selection and Diagram Construction:**
   - Select three vectors.
   - Construct a vector diagram including the sum ( \( \vec{S} \) ), as shown in the provided diagram.
   - Choose your own magnitudes and directions for each vector.

#### Vector Diagram Explanation:
The given diagram shows the following elements:
- The vectors are labeled and plotted on an \( xy \)-coordinate system.
- The vectors appear to have different magnitudes and directions.
- Specific angles and lengths are marked on the diagram as follows:
  - A vector with a magnitude of 11.2 units and an angle of 76.0° from the negative x-axis.
  - Another vector with a magnitude of 14.9 units and an angle of 47.7° from the positive x-axis.
  - A sum vector ( \( \vec{S} \) ) represented by the resultant arrow with an angle of 165.5°.
  - The resultant vector includes components in both the \( x \)- and \( y \)- directions.

#### Data Recording:
2. **Record your data in the following table:**

   **Simulated Data Table**
   | Vector  | Magnitude ( ) | Direction ( ) | X-Component | Y-Component |
   |---------|----------------|----------------|-------------|-------------|
   | \( \vec{V}_1 \) |                |                |             |             |
   | \( \vec{V}_2 \) |                |                |             |             |
   | \( \vec{V}_3 \) |                |                |             |             |
   | \( \vec{S} \)   |                |                |             |             |

#### Analysis Steps:
- Use the given diagram to determine the magnitude and direction for each vector.
- Break down each vector into its \( x \)- and \( y \)- components.
- Sum the components to find the resultant vector.
- Record all data in the table accordingly.

Ensure your measurements and calculations are accurate for a precise vector analysis.
Transcribed Image Text:### Vector Construction and Analysis #### Instructions: 1. **Vector Selection and Diagram Construction:** - Select three vectors. - Construct a vector diagram including the sum ( \( \vec{S} \) ), as shown in the provided diagram. - Choose your own magnitudes and directions for each vector. #### Vector Diagram Explanation: The given diagram shows the following elements: - The vectors are labeled and plotted on an \( xy \)-coordinate system. - The vectors appear to have different magnitudes and directions. - Specific angles and lengths are marked on the diagram as follows: - A vector with a magnitude of 11.2 units and an angle of 76.0° from the negative x-axis. - Another vector with a magnitude of 14.9 units and an angle of 47.7° from the positive x-axis. - A sum vector ( \( \vec{S} \) ) represented by the resultant arrow with an angle of 165.5°. - The resultant vector includes components in both the \( x \)- and \( y \)- directions. #### Data Recording: 2. **Record your data in the following table:** **Simulated Data Table** | Vector | Magnitude ( ) | Direction ( ) | X-Component | Y-Component | |---------|----------------|----------------|-------------|-------------| | \( \vec{V}_1 \) | | | | | | \( \vec{V}_2 \) | | | | | | \( \vec{V}_3 \) | | | | | | \( \vec{S} \) | | | | | #### Analysis Steps: - Use the given diagram to determine the magnitude and direction for each vector. - Break down each vector into its \( x \)- and \( y \)- components. - Sum the components to find the resultant vector. - Record all data in the table accordingly. Ensure your measurements and calculations are accurate for a precise vector analysis.
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