Definition
A vector is a quantity that has both magnitude and direction. Vectors can be represented in different ways, such as geometrically (with arrows) or algebraically (with coordinates).
Representation
- Geometric Representation: A vector can be visualized as an arrow with a specific direction and length. The direction represents the vector's direction, and the length represents its magnitude.
2. Algebraic Representation: A vector can be represented as an ordered list of numbers (components) corresponding to the vector's coordinates in a space. For example, in 3-dimensional space, a vector can be written as:
