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.