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 ...
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...
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 ...
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...
Parallel, Intersecting & Skew Lines In two dimensions, lines are either parallel or they intersect at a single point. If they are parallel, then either they have no points in common, or they sh...
Equation of a Line in Vector Form How do I find the vector equation of a line? You need to know: The position vector of one point on the line A direction vector of the line (or the position vector ...
Problem Solving using 3D Vectors Problem-solving with 3-D vectors 3-D vector problems can be solved using the same principles as 2-D vector problems (see Problem Solving using Vectors) Vectors can ...
Vectors in 3 Dimensions What is a 3-D vector? Vectors represent a movement of a certain magnitude (size) in a given directionYou should have already come across (2D) vectors at AS (see Basic Vector...
Problem Solving using Vectors Problem-solving with vectors Vectors can be used to prove two lines are parallel (see Vector Addition) They can also be used to show points are collinear (lie on the s...
