In this scenario, we have three vectors to analyze based on their directions and magnitudes.
Vector A: This vector points in the negative x direction. Without any magnitude provided, we can consider it simply as a vector represented by the coordinates (-A, 0), where A is the magnitude of the vector.
Vector B: This vector points at an angle of 30 degrees above the positive x-axis. The components of this vector can be expressed using trigonometric functions:
- Magnitude in the x-direction: B * cos(30°)
- Magnitude in the y-direction: B * sin(30°)
However, we need to know the magnitude of vector B to calculate its components.
Vector C: Vector C has a magnitude of 17 m and points at an angle of 420 degrees. To make sense of the angle, we reduce it modulo 360, which results in 60 degrees. Thus, the components would be:
- Magnitude in the x-direction: 17 * cos(60°)
- Magnitude in the y-direction: 17 * sin(60°)
In summary, understanding the components of these vectors will help us resolve them into their x and y components to analyze their interactions or resulting motions.