Expression of a Vector
Graphically, a vector is represented by a line with an arrow. The length of the line is the magnitude, and the direction of the line represent the vector’s direction.
A vector is typically represented by a bold letter, say, a. In handwriting, typically one put an arrow on top of the letter to represent a vector . The magnitude of a =|a| = a.
A displacement is a vector. Vectors (of the same kind) can be added. If you go north 1 mi and then east 1 mi, your displacement can be represented by one vector pointing to the northeast with magnitude of ¦2 mi.