The **displacement vector** from one point to another is an arrow with its tail at the first point and its tip at the second.

- Displacement Vector Notation:

*Displacement vectors which point in the same direction and have the same magnitude are considered to be the same, even if they do not coincide*

The **magnitude** (or length) of the displacement vector is the distance between the points and is represented by the length of the arrow.

- Magnitude Notation:

## Definitions

- The
**direction**of the displacement vector is the direction of the arrow. -
**vector**has both magnitude and direction. -
**scalar**is a quantity with magnitude, but does not have direction.

## Addition and Subtraction

The **sum** of two vectors , , is the combined displacement of the vectors.

The **zero vector**, , is a displacement vector with zero length.

The **difference**, , between two vectors is the displacement vector that, when added to , gives . This means: