let
Vector A= 293 units @ 61.8 degrees
Vector B=189 units @ 260.4 degrees
Vector  C= 309 units @ 188.7 degrees
Vector A + Vector B

To find the sum of Vector A and Vector B, we need to break them into their component forms (x and y components) and then add these components together.

### Step 1: Break vectors into components

1. **Vector A**:  
   - Magnitude = 293 units
   - Angle = 61.8 degrees
   - \( A_x = 293 \cos(61.8^\circ) \)
   - \( A_y = 293 \sin(61.8^\circ) \)

2. **Vector B**:  
   - Magnitude = 189 units
   - Angle = 260.4 degrees
   - \( B_x = 189 \cos(260.4^\circ) \)
   - \( B_y = 189 \sin(260.4^\circ) \)

### Step 2: Calculate components
Let's compute these components.The components of the vectors are:

- **Vector A**:  
  \( A_x \approx 138.46 \) units  
  \( A_y \approx 258.22 \) units

- **Vector B**:  
  \( B_x \approx -31.52 \) units  
  \( B_y \approx -186.35 \) units

### Step 3: Sum of Vector A and Vector B

- \( (A_x + B_x) \approx 106.94 \) units  
- \( (A_y + B_y) \approx 71.87 \) units

### Resultant Vector
The resultant vector \( \vec{R} = \vec{A} + \vec{B} \) in component form is approximately:
\[ \vec{R} \approx (106.94 \hat{i} + 71.87 \hat{j}) \text{ units} \]

Do you want to find the magnitude and direction of the resultant vector or have any other questions?

Here are 5 related questions that might interest you:
1. How do you find the magnitude and direction of the resultant vector?
2. What is the graphical method for adding vectors?
3. How would the components change if Vector B's angle was given in radians?
4. What are some common applications of vector addition in physics?
5. How do vectors behave in three-dimensional space?

**Tip:** When adding vectors, breaking them into their components simplifies the process, especially when dealing with different directions.

Vector A= 293 units @ 61.8 degrees, Vector B=189 units @ 260.4 degrees. Find Vector A + Vector B.

This problem involves adding two vectors, Vector A (293 units at 61.8 degrees) and Vector B (189 units at 260.4 degrees), by breaking them into x and y components. Learn how to calculate vector components and sum vectors in 2D space using trigonometric methods.

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