A vector is a quantity with magnitude and direction, and magnitude of a vector is known as length. Vector is represented by a directed line segment. The direction of the vector is indicated by an arrow pointing from the tail to head. If tail is at point A and head is at point B then the vector from A to B is written $\vec{AB}$

Examples: Acceleration, momentum, force magnetic field etc.

## What is a Vector?

A vector is a combination of three things.
1. Magnitude which is a positive number,
2. Direction in space and
3. The idea of direction.
A vector is represented by a straight line which will have an starting point and an ending point.
A two-dimensional vector will be an ordered pair of real numbers v = (a, b) where a and b are the components of v.

The length of the vector v = (a, b) is defined as |v| = v = $\sqrt{(a^{2} + b^{2})}$

### Rate of Change

 Vector Addition Dot Product Cross Product
 Addition of Vectors Area of Parallelogram Vectors Cross Product of Perpendicular Vectors Dot Product for Vectors line integral of a vector field Antiderivative Calculus Calculus Concavity Calculus Derivative Calculus Differentiability Calculus Integration Differentiation Calculus application of differential calculus
 Calculate Vector Subtraction of Vectors Adding Vectors Calculator