In these lessons, we will learn what are vectors and how they can be expressed.

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More Lessons on Vectors

### Videos

An introduction to vectors

This video introduces vectors - what they are and how they are expressed.

Magnitude, direction, graphing/mapping, Unit Vectors. A video revising vectors at higher GCSE Maths level

Vectors with numbers

Magnitude of a Vector

Algebraic Vectors

Parallel Vectors

Related Topics:

More Lessons on Vectors

** Scalar quantities** are quantities that have only magnitudes such as time, area and distance.

** Vector quantities** are quantities that have both magnitudes and directions such velocity (speed and direction), force and acceleration.

A **vector** can be represented by a **directed line segment****, **whose direction is given by the arrow and the length shows the magnitude of the vector.

The vectors can be denoted by or ** AB **or or or

* A* is called the **initial point** and *B* is called the **terminal point** of .

The **magnitude** of a vector is the length of the corresponding segment. The magnitude of is denoted by .

A vector can be written as an ordered pair called a **column vector**

Consider the line *PQ* in the diagram. The line represents the translation of *P* to *Q*, which is 2 right and 3 up.

This can be written as the ordered pair

* Example: *

Express as a column vector.

* Solution: *

The translation of *C* to *D* is 4 right and 3 down.

This video introduces vectors - what they are and how they are expressed.

Magnitude, direction, graphing/mapping, Unit Vectors. A video revising vectors at higher GCSE Maths level

Vectors with numbers

Magnitude of a Vector

Algebraic Vectors

Parallel Vectors

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