The image contains a problem related to vector addition using the graphical method. Here's a breakdown of the problem from the image:

Written Work 1: Addition of Vectors

• Task: Find the resultant vector using the graphical method.
• Scale: 5 blocks = 1 cm or 5 blocks = 10 mm. (So, 1 block = 2 mm.)
• Vectors given:
  1. Vector A = 20 blocks, 40 degrees SW
  2. Vector B = 18 blocks, 31 degrees SE
  3. Vector C = 22 cm, 16 degrees NE
  4. Vector D = 16 cm, 45 degrees NE
  5. Vector E = 20 cm, 55 degrees SE
  6. Vector F = 16 cm, 25 degrees NW

You are required to find the resultant vector using the graphical method, which involves drawing these vectors to scale and determining their sum using the head-to-tail method.

Solution Steps:

1. Draw each vector to scale using the angle provided (measured counterclockwise from the positive x-axis or relative to cardinal directions).
2. Apply the head-to-tail method for vector addition. Start with the first vector, then place the tail of the second vector at the head of the first, and continue this for all vectors.
3. Measure the resultant vector (from the tail of the first vector to the head of the last vector).
4. Determine the magnitude and direction of the resultant vector.

Would you like me to further assist you with the graphical method or calculate the resultant vector using the analytical method (component form)?

Follow-up Questions:

1. Would you like to clarify how to draw vectors based on angles like SW or SE?
2. Do you want me to explain how to convert vector magnitudes from blocks to cm based on the given scale?
3. Would you like more details on how to calculate the components of each vector?
4. Do you want help understanding how to sum vectors geometrically?
5. Do you need help interpreting the final result (magnitude and angle)?

Tip: When adding vectors graphically, always ensure your angles are measured correctly relative to the positive x-axis for better accuracy.