Vector Drawing
1. The problem asks to draw vectors with given magnitudes and directions relative to compass points (North, East, South, West).
2. To draw each vector, we use the magnitude as the length (in units) and the angle as the direction measured from East or North as specified.
3. Important rules:
- "North of East" means start from East (0°) and rotate counterclockwise toward North.
- "South of East" means start from East (0°) and rotate clockwise toward South.
- "West of North" means start from North (90°) and rotate counterclockwise toward West.
4. For each vector, convert the direction into a standard angle from the positive x-axis (East) in degrees:
- Vector A: 53.1° North of East = 53.1° from East (0°) counterclockwise.
- Vector B: 67.4° North of East = 67.4° from East.
- Vector C: 53.1° South of East = 360° - 53.1° = 306.9° from East (clockwise).
- Vector D: 36.9° West of North = 90° + 36.9° = 126.9° from East.
5. To draw:
- Use a ruler to measure the length equal to the magnitude.
- Use a protractor to measure the angle from East (0°) counterclockwise.
6. Example for Vector A:
- Draw a line 5 units long.
- Measure 53.1° counterclockwise from East.
- Draw the vector along this direction.
7. Repeat similarly for vectors B, C, and D using their respective angles and lengths.
This method ensures accurate representation of vectors in the coordinate system.