Some of the most important formulas for vectors such as the magnitude, the direction, the unit vector, addition, subtraction, scalar multiplication and cross product are presented.

Vectors formulas lists the set of formulas for various operations on vectors, dot and cross product of vectors.

A vector is a quantity that has both magnitude and direction. Vectors are represented by a directed line segment (or arrow) with an initial point P and terminal point

Dec 8, 2025 · The magnitude of a vector represents the strength of the vector. We can calculate the magnitude of the vector by taking the square root of the sum of the squares of each …

Dec 2, 2025 · A vector is a quantity that has both **magnitude** (how big) and **direction** (which way). Many important physical quantities are vectors: displacement, velocity, acceleration, and …

This is a vector: A vector has magnitude (size) and direction: The length of the line shows its magnitude and the arrowhead points in the direction.

This topic covers: - Vector magnitude - Vector scaling - Unit vectors - Adding & subtracting vectors - Magnitude & direction form - Vector applications

Understand the concept of vectors, learn about the triangular and parallelogram law of addition, vector subtraction, and go through solved examples. Dive into the world of vectors with …

Feb 16, 2025 · Given points P and Q (either in the plane or in space), we denote with P Q → the vector from P to Q. The point P is said to be the initial point of the vector, and the point Q is …

Note: Any of the concepts and formulae discussed in this vector formula sheet can come in useful when learning about three-dimensional geometry. A 3D Geometry vector formula sheet is also …