How to add vectors

This blog entry will explain how to add vectors. If you follow these simple steps, you'll be adding vectors like Albert Einstein in no time:

1. First step is setting your positive and negative axes. This step is crucial because it will allow you to determine whether your vectors are going in a positive or negative direction.
2. Next, you must break down all of the vectors into their individual x and y vector components. For this you use the sine and cosine ratios to find the magnitudes of two x and y vector components. Next, you find the directions of the x and y components based on the positive axes you set earlier.
3. You then organize these vector components in a chart while at the same time applying all of the vector transformations to the vector components. For example the vector 2A would involve multiplying Ax component by 2 and the Ay component by 2. The vector -A would involve reversing vector A and making it go in the opposite direction. Therefore, you multiply Ax by -1 and Ay by -1.
4. You find the net values of all of the x and y vector components. Essentially add up all of the x values and all of the y values.
5. You then use the Pythagorean theorem to calculate the magnitude of the resultant vector.
6. Finally, you use the tangent angle ratio to calculate the angle of the resultant vector while paying close attention to - and +, and N, S, E, W. 
7. Congratulations!! You have just learned how to add vectors.