CIE A Level Maths: Pure 3复习笔记8.2.3 Modulus & Argument
Modulus & Argument How do I find the modulus of a complex number? The modulus of a complex number is its distance from the origin when plotted on an Argand diagram The modulus of z is ...
CIE A Level Maths: Pure 3复习笔记8.2.2 Geometry of Complex Addition, Subtraction & Conjugation
Geometry of Complex Addition, Subtraction & Conjugation What does addition look like on an Argand diagram? The addition of complex numbers can be shown by the addition of corresponding column v...
CIE A Level Maths: Pure 3复习笔记8.2.1 Argand Diagrams - Basics
Argand Diagrams - Basics What is an Argand diagram? An Argand diagram is a geometrical way to represent complex numbers as either a point or a vector in two-dimensional space We can represen...
CIE A Level Maths: Pure 3复习笔记8.1.4 Complex Roots of Polynomials
Complex Roots of Quadratics What are complex roots? Complex numbers provide solutions for quadratic equations which have no real roots Complex roots occur when solving a quadratic with a ne...
CIE A Level Maths: Pure 3复习笔记8.1.3 Square Roots of a Complex Number
Square Roots of a Complex Number How do I find the square root of a complex number? The square roots of a complex number will themselves be complex: i.e. if then We can then square and equate it t...
CIE A Level Maths: Pure 3复习笔记8.1.2 Complex Conjugation & Division
Complex Conjugation & Division When dividing complex numbers, we can use the complex conjugate to make the denominator a real number, which makes carrying out the division much easier. What is ...
CIE A Level Maths: Pure 3复习笔记8.1.1 Intro to Complex Numbers
Complex Numbers – Basics What is an imaginary number? What is a complex number? Worked Example Exam Tip Complex Numbers – Basic Operations How do I add and subtract complex numbers? When adding and...
CIE A Level Maths: Pure 3复习笔记7.3.4 Uses of the Scalar Product
Uses of the Scalar Product This revision note covers several applications of the scalar product for vectors – namely, how you can use the scalar product to: find the angle between vectors or lines ...
CIE A Level Maths: Pure 3复习笔记7.3.3 The Scalar ('Dot') Product
The Scalar ('Dot') Product The scalar product is an important link between the algebra of vectors and the trigonometry of vectors. We shall see that the scalar product is somewhat comparable to the...
