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Vectors

Specialist Maths Units 3 and 4 2023+

Lesson notes

LEGAL STUFF

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au

Chapters

Welcome

Learning objectives

Recap of past learning

What is a vector?

Directed line segments

Column Vectors

Vector notation

The size or magnitude of a vector

Adding vectors (using a diagram)

Adding vectors (using column vectors)

Affecting the length of vectors using multiplication

A line segment with no length?

We can subtract vectors

Example 1

Polygon of vectors

Parallel vectors

Position vectors

Three dimensional vectors

Common sense rules

Linear dependence and independence

Important information

Example: Linear dependence

Example: Linear independence

VCAA Question 1

VCAA Question 2

VCAA Question 3

Description

This is the first video in this series of videos relating to Vectors - a part of the Year 12 Specialist Mathematics course. Understanding what a vector is will be vital to the rest of the course. Being specialist Mathematics we cover the basics and then get into the really interesting parts of the course such as linear dependence and independence. I cover the basics showing worked examples before finishing with some of the more "interesting" VCAA questions.

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