Analytical Methods of Vector Addition and Subtraction

What are analytical methods of vector addition and subtraction?

Analytical methods of vector addition and subtraction employ geometry and simple trigonometry rather than the ruler and protractor of graphical methods. Part of the graphical technique is retained, because vectors are still represented by arrows for easy visualization.

However, analytical methods are more concise, accurate, and precise than graphical methods, which are limited by the accuracy with which a drawing can be made. Analytical methods are limited only by the accuracy and precision with which physical quantities are known.

In the next couple of lessons, we will look at analytical techniques for adding and subtracting vectors.