The video tutorial explains vector addition both algebraically and graphically. It begins with an introduction to vectors and their components, followed by a detailed explanation of how to add vectors algebraically by combining their respective components. The tutorial then demonstrates the graphical method of vector addition, emphasizing the concept of transposing vectors to form a parallelogram. The video concludes with a summary of the methods discussed, highlighting the equivalence of algebraic and graphical approaches.

How does the speaker illustrate that the order of addition does not matter for vectors?

What is the significance of the resulting vector when adding two vectors U and V?