Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table. B + C +A= ??? Scale: 1 square= 5 km along edge A +2 D R H F List the magnitude and direction of each vector. Use a +/- sign for direction (left and down are -). Vector B с A Resultant Use table values, the diagram, SOH CAH TOA, and the Pythagorean theorem to determine the magnitude and CCW direction of R. Magnitude: 33.5 Direction: km X 10 5 0 15 °CCW y 0 -10 -20 -30 Check Answers Use the Number Pad to enter the value of ... 7 4 1 0 с Resultant Direction (°CCW) 8 5 2 9 6 3 +/- Backspace Once done, tap the Enter button. Enter

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can't find correct direction of R

**Vector Addition and Resultant Calculation**

**Objective:**
Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation \( B + C + A = ??? \).

**Scale:**
- 1 square = 5 km along each edge.

**Diagram:**
The diagram displays vectors labeled A, B, C, D, E, F, G, and H on a grid. The resultant vector \( R \) is indicated by an arrow pointing downwards to the left.

**Vector Table:**
List the magnitude and direction of each vector. Use a +/- sign for direction (left and down are negative).

| Vector     | \( x \)  | \( y \)  |
|------------|---------|----------|
| B          | 10      | 0        |
| C          | 5       | -10      |
| A          | 0       | -20      |
| Resultant  | 15      | -30      |

**Calculations:**
Utilize table values, the diagram, SOH CAH TOA, and the Pythagorean theorem to determine the magnitude and counterclockwise (CCW) direction of \( R \).

- **Magnitude:**
  \[
  \text{Magnitude} = 33.5 \text{ km}
  \]

- **Direction:**
  Awaiting calculation (Enter value using keypad).

**Interactive Input:**
Use the Number Pad to enter the value of the Resultant Direction (\(^\circ\) CCW).

| Keypad    |           |
|-----------|-----------|
| 7 8 9     |           |
| 4 5 6     |           |
| 1 2 3     |           |
| 0 . +/-   |           |
| C         | Backspace |
| Enter     | Once done, tap the Enter button. |

**Check Answers:**
Enter your calculated direction to verify the result.
Transcribed Image Text:**Vector Addition and Resultant Calculation** **Objective:** Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation \( B + C + A = ??? \). **Scale:** - 1 square = 5 km along each edge. **Diagram:** The diagram displays vectors labeled A, B, C, D, E, F, G, and H on a grid. The resultant vector \( R \) is indicated by an arrow pointing downwards to the left. **Vector Table:** List the magnitude and direction of each vector. Use a +/- sign for direction (left and down are negative). | Vector | \( x \) | \( y \) | |------------|---------|----------| | B | 10 | 0 | | C | 5 | -10 | | A | 0 | -20 | | Resultant | 15 | -30 | **Calculations:** Utilize table values, the diagram, SOH CAH TOA, and the Pythagorean theorem to determine the magnitude and counterclockwise (CCW) direction of \( R \). - **Magnitude:** \[ \text{Magnitude} = 33.5 \text{ km} \] - **Direction:** Awaiting calculation (Enter value using keypad). **Interactive Input:** Use the Number Pad to enter the value of the Resultant Direction (\(^\circ\) CCW). | Keypad | | |-----------|-----------| | 7 8 9 | | | 4 5 6 | | | 1 2 3 | | | 0 . +/- | | | C | Backspace | | Enter | Once done, tap the Enter button. | **Check Answers:** Enter your calculated direction to verify the result.
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