Vectors are a central concept in linear algebra. This branch of mathematics deals with vector spaces, matrices, and operations like addition, scalar multiplication, and dot products of vectors. Linear algebra explores how vectors can be used to model various real-world phenomena and solve systems of equations.

Vectors are also used in geometry to describe points, lines, and planes in space. Vectors help define geometric transformations, such as translations, and are essential in understanding the relationships between different geometric objects.

Vectors are particularly important in physics and engineering, where you deal with quantities that have both magnitude and direction, such as displacement, velocity, acceleration, force, and moments.

Vectors Magnitude and Direction - Displacement Vector

Vectors Magnitude and Direction - Displacement Vector

Course categoryALGEBRA VECTORS

A vector is used when we want to recognize that a quantity has both a magnitude and a direction.  For example, a displacement from an initial to a final location is described not only with its ...