Vector #1: 202 at 270°

Vector #2: 421 at 0°

What is the magnitude and absolute angle of the resultant vector?

To find the magnitude and absolute angle of the resultant vector, we need to break down each vector into its components, sum these components, and then calculate the magnitude and direction of the resultant vector.

### Given:
- **Vector #1:** Magnitude = 202, Angle = 270° 
- **Vector #2:** Magnitude = 421, Angle = 0°

### Step 1: Break down each vector into its components.
- **Vector #1 Components:**
  \[
  x_1 = 202 \times \cos(270^\circ) = 202 \times 0 = 0
  \]
  \[
  y_1 = 202 \times \sin(270^\circ) = 202 \times (-1) = -202
  \]

- **Vector #2 Components:**
  \[
  x_2 = 421 \times \cos(0^\circ) = 421 \times 1 = 421
  \]
  \[
  y_2 = 421 \times \sin(0^\circ) = 421 \times 0 = 0
  \]

### Step 2: Sum the components to get the resultant vector

Learn how to calculate the magnitude and absolute angle of a resultant vector formed by adding two vectors. This problem involves using vector components and trigonometric functions to find the resultant vector. Suitable for students in Grades 11-12 studying vectors and trigonometry.

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