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Vectors
Specialist Maths Units 3 and 4 2023+
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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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