# AS Maths Vectors

This AS Maths course (based originally on the Edexcel specification) teaches the fundamentals of the Vectors topics taught during the first year of A-Level Maths. These topics include:

- Magnitude and Direction of Vectors
- Unit Vectors
- Addition, Subtraction and Scalar Multiplication of Vectors
- Position Vectors
- Vectors and Trigonometry

There are 17 lessons which include notes, examples, and videos for the above topics followed by an assignments section with a quiz and a written assignment to sit and mark yourself.

We recommend that you allow 3 hours for completion of the AS Maths Vectors course.

Mark the bottom of each lesson ‘complete’ when you feel happy that you have learned the content. Happy Studying!

### Introduction

This AS Maths course (based originally on the Edexcel specification) teaches the fundamentals of the Vectors topics taught during the first year of A-Level Maths. These topics include:

- Magnitude and Direction of Vectors
- Unit Vectors
- Addition, Subtraction and Scalar Multiplication of Vectors
- Position Vectors
- Vectors and Trigonometry

There are 17 lessons which include notes, examples, and videos for the above topics followed by an assignments section with a quiz and a written assignment to sit and mark yourself.

We recommend that you allow 3 hours for completion of the AS Maths Vectors course.

Mark the bottom of each lesson 'complete' when you feel happy that you have learned the content. Happy Studying!

### 2D Vectors

A description of what vectors are

Finding the vector between two points and its magnitude.

Using parallel lines to find the value of an unknown constant.

Using magnitude to find the value of an unknown in a vector then using it to find a unit vector with calculations heavily based on surds.

### Vector Arithmetic

Navigating along various known vectors to obtain unknown vectors and showing that three points are colinear.

Finding expressions for various vectors running along the perimeter of a trapezium.

A complicated vector arithmetic question involving the position vector of a point with unknown location.

### Vectors in Context

Using points and position vectors to find a new position vector and using magnitude to find the value of an unknown constant.