Final answer:
To add vectors graphically, use the head-to-tail method, sequentially aligning vectors and then drawing the resultant from the starting point to the end of the last vector. Measure the resultant's magnitude and direction for the final values.
Step-by-step explanation:
To perform a vector addition using the head-to-tail method, one must graphically align vectors in sequence where the tail of each subsequent vector meets the head of the previous vector. This method visually portrays the cumulative effect of multiple vectors. Here are the steps to follow:
- Choose any vector and draw it on the graph as an arrow pointing in the correct direction and length. Ensure to add an arrowhead to indicate its direction.
- Take the next vector and draw it as an arrow starting from the arrowhead of the first vector, also maintaining the correct direction and length.
- Continue this process with any additional vectors, always starting from the head of the previously drawn vector.
- After placing all vectors head-to-tail, draw an arrow from the tail of the first vector to the head of the last vector. This newly drawn vector is the resultant vector, representing the sum of all vectors.
- Measure the length of the resultant vector to determine its magnitude and use a protractor to find its direction relative to the starting point.
By following these steps, you can graphically add any number of vectors and determine the resultant vector’s magnitude and direction.