Vectors are 1-dimentional **Arrays**

Vectors have a **Magnitude** and a **Direction**

Vectors typically describes **Motion** or **Force**

## Vector Notation

Vectors can be written in many ways. The most common are:

## Motion

Vectors are the building blocks of **Motion**

In geometry, a vector can describe a movement from one point to another.

The vector [3, 2] says go 3 right and 2 up.

## Vector Addition

The sum of two vectors (**a+b**) is found by moving the vector **b** until the tail meets the head of vector **a**. (This does not change vector b).

Then, the line from the tail of **a** to the head of **b** is the vector **a+b**:

## Vector Subtraction

Vector **-a** is the opposite of **+a**.

This means that vector a and vector -a has the same magnitude in opposite directions:

## Scalar Operations

Vectors can be modified by adding, subtracting, or multiplying a scalar (number) from all the vector values:

a = [1 1 1]

a + 1 = [2 2 2]

[1 2 3] + 1 = [2 3 4]

Vector multiplications has much of the same properties as normal multiplication:

[2 2 2] * 3 = [6 6 6]

[6 6 6] / 3 = [2 2 2]

## Force

**Force** is a Vector.

Force is a vector with a **Magnitude** and a **Direction**.

## Velocity

**Velocity** is a Vector.

Velocity is a vector with a **Magnitude** and a **Direction**.

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