Vector algebra

Vector algebra is a branch of mathematics that deals with vectors—quantities that have both magnitude (size) and direction. It provides tools to perform operations like addition (combining vectors), subtraction, and scaling (multiplying by a number). Vectors can represent physical quantities like force, velocity, or displacement. Key concepts include the dot product (measuring how much two vectors align, resulting in a scalar) and the cross product (producing a vector perpendicular to two others, used to find areas or rotational effects). Vector algebra helps analyze and solve real-world problems involving directional quantities efficiently.