Vector notation is a mathematical way to represent quantities that have both magnitude and direction. Vectors are often denoted by bold letters, such as v, or with an arrow above the letter, like \vecv. They can be expressed in different forms, including component form, where a vector is represented by its components along the axes, such as \vecv = (v_x, v_y) in two-dimensional space. In addition to their representation, vectors can be added or subtracted using vector addition rules. This involves combining their components, making it easier to visualize and calculate the resultant vector. Vector notation is widely used in fields like physics, engineering, and computer graphics, where understanding direction and magnitude is crucial.