IB DP Maths: AI HL复习笔记3.7.4 The Scalar Product
The Scalar ('Dot') Product What is the scalar product? The scalar product (also known as the dot product) is one form in which two vectors can be combined together The result of taking the scalar p...
IB DP Maths: AI HL复习笔记3.7.3 Magnitude of a Vector
Magnitude of a Vector How do you find the magnitude of a vector? The magnitude of a vector tells us its size or length For a displacement vector it tells us the distance between the two points For ...
IB DP Maths: AI HL复习笔记3.7.2 Position & Displacement Vectors
Adding & Subtracting Vectors How are vectors added and subtracted numerically? To add or subtract vectors numerically simply add or subtract each of the corresponding components In column vecto...
IB DP Maths: AI HL复习笔记3.7.1 Introduction to Vectors
Scalars & Vectors What are scalars? Scalars are quantities without direction They have only a size (magnitude) For example: speed, distance, time, mass Most scalar quantities can never be negat...
IB DP Maths: AI HL复习笔记3.6.2 Determinant of a Transformation Matrix
Determinant of a Transformation Matrix What is a determinant? the determinant is det A = ad - bc What does the determinant of a transformation matrix (A) represent? The absolute value of the determ...
IB DP Maths: AI HL复习笔记3.6.1 Matrix Transformations
Transformation by a Matrix What is a transformation matrix? A transformation matrix is used to determine the coordinates of an image from the transformation of an object Commonly used transformatio...
IB DP Maths: AI HL复习笔记3.5.2 Toxic Waste Dump Problem
Toxic Waste Dump Problem What is the toxic waste dump problem? The toxic waste dump problem is the name given to the general idea of finding the point on a Voronoi diagram which is furthest from an...
IB DP Maths: AI HL复习笔记3.5.1 Voronoi Diagrams
Drawing Voronoi Diagrams What are Voronoi Diagrams? A Voronoi diagram shows the region containing the set of all points which are closer to one given site than to any other site on the diagram A si...
IB DP Maths: AI HL复习笔记3.4.3 Solving Trigonometric Equations
Graphs of Trigonometric Functions What are the graphs of trigonometric functions? The trigonometric functions sin, cos and tan all have special periodic graphs You’ll need to know their properties ...
