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

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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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

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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