IB Maths AI 3.9 Definitions

This page contains our IB Maths AI definitions for 3.9. By learning each one of these definitions, you will fully cover the content for IB Maths AI 'Vectors'.

All Topic 3 Sub-topics 3.1: Fundamentals Of Geometry 3.2: Introduction To Trigonometry 3.3: Applied Trigonometry 3.4: Circles 3.5: Perpendicular Bisectors 3.6: Voronoi Diagrams (HL)3.7: Unit circle (HL)3.8: Geometric transformations (HL)3.9: Vectors (HL)3.10: Vector lines (HL)3.11: Graph theory (HL)3.12: Adjacency matrices (HL)3.13: Algorithms & problems

directed

Having edges with a specified direction, so moving from one vertex to another may be possible without the reverse move being possible.

displacement

The vector that represents the change in position from one point to another, for example $\rightarrow{AB}=\textbf{b}-\textbf{a}$ .

position

The vector from the origin $O$ to a point, written for example as $\rightarrow{OA}=\textbf{a}$ .

scalar

A single number used to multiply a matrix by multiplying every element by that number.

vector

An operation on two vectors that returns a vector perpendicular to both, with direction given by the right-hand rule and magnitude $|\textbf{v}||\textbf{w}|\text{sin}\theta$ .

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