QCE Together Year 12 Specialist Maths: Further Operations with Vectors

Specialist Maths

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Further Operations with Vectors

This is part of the QCE Specialist Maths course under Unit 3: Mathematical induction, and further vectors, matrices and complex numbers. In this post, we look at Topic 2: Vectors and matrices and reviewing the concepts of vectors from Unit 1. Here we will investigate further operations with vectors, including defining, calculating and using the magnitude of a vector in two dimensions.

 

The magnitude of a vector

The magnitude of a vector is how long it is, this comes from Pythagoras theorem. Basically, it is finding the length of the hypotenuse, or in our case, the actual vector!

 

Find the magnitude and direction of a vector

 

Proof of finding the magnitude

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