# Calculus II/Vector Algebra Operation

## Definitions of a vector edit

A vector is a mathematical concept that has both magnitude and direction. A vector is an *object* that has certain properties:

- Magnitude (or length) denoted as A
- Direction . denoted as
**a**

A vector of length X pointing from left to right horizontally

A vector of length X pointing from bottom to top vertically

From above, A vector of length X pointing from left to right horizontally

## Addition of 2 vector edit

A Vector sum of 2 vectors

Example

## Substraction of 2 vector edit

A Vector difference of 2 vectors

Example

## Multiplication by a scalar edit

Multiplication of a vector by a scalar has the effect of stretching or shrinking the vector (see Figure 2(b)).

You can form a unit vector that is parallel to by dividing by the length of the vector . Thus,