# VCE – Specialist Mathematics UNIT 3: Vectors

## Introduction

Students cover the arithmetic and algebra of vectors, linear dependence and independence of a set of vectors, proof of geometric results using vectors, vector representation of curves in the plane and vector kinematics in one and two dimensions.

## Program Overview

This program explores the mathematical application of vectors, using modelling and 3D VR techniques.

1. Vectors in VR
• addition and subtraction of vectors and their multiplication by a scalar, and position vectors
• linear dependence and independence of a set of vectors and geometric interpretation
• magnitude of a vector, unit vector, and the orthogonal unit vectors i ­ , j ­ and k ­
• resolution of a vector into rectangular components
• scalar (dot) product of two vectors, deduction of dot product for i ­ , j ­ , k ­ system; its use to find scalar and vector resolute.

#### Curriculum Focus

Unit 1 VCE Specialist Mathematics: AOS 1 and 2 – Outcome 4: Vectors

Max students: 24