Final answer:
To graphically represent vector addition, draw arrows proportional to the vectors' magnitudes and directions, placing them head-to-tail. If there are only two vectors in this example, the process concludes after the second vector is placed at the head of the first.
Step-by-step explanation:
To represent vector addition graphically, you need to draw each vector as an arrow with the correct length and direction. Follow the steps below:
Draw an arrow to represent the first vector. For example, if the vector represents 9 blocks to the east, use a ruler and protractor to draw an arrow pointing east with a length proportional to 9 blocks.
Next, draw an arrow to represent the second vector, which might represent 5 blocks to the north. Place the tail of this second vector at the head of the first vector. Ensure the length and direction are accurate according to the vector's value.
If there are more than two vectors, you would continue this head-to-tail process, but if there are only two vectors, as in our example, your work is done after placing the second vector.
This method allows you to visually determine the resultant vector, which is the sum of the vectors when drawn head-to-tail. Remember to always start the subsequent vector from the head of the previous one.