IB DP Maths: AI HL復習筆記3.7.5 The Vector Product
The?scalar product?is one method of multiplying vectors which results in a scalar and has uses when working with vectors and lines. The?vector product?is a different method, which results in a vect...
IB DP Maths: AI HL復習筆記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復習筆記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復習筆記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復習筆記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復習筆記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復習筆記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復習筆記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復習筆記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...
