What You Will Learn!
- Basic Vector Operations
- Scalar (Dot) Product
- Vector (Cross) Product
- Three-dimensional Vectors
- Length of Projection
- Vector Equations of Straight Lines
- Equations of Planes
- Angle between two lines and angle between two planes
- Shortest Distance from a Point to a Line/Plane
- Point of Reflection of a Point about a Plane
- Point of Intersection between a Line and a Plane
- Intersections between Two/Three Planes
Description
Dear students,
Welcome to this course "Master the Fundamentals of Vectors"!
This course is designed specially for students who are: doing college-level mathematics, taking their IGCSE/GCE A level, the IB HL Math examinations or simply anyone who is interested to learn the basics of vector .
At the end of the course, and depending on which exams you are taking, you will learn most/all of the following:
basic vector operations
ratio theorem and midpoint theorem
scalar (dot) product
length of projection
vector (cross) product
vector equation of a straight line
acute angle between two lines
shortest distance from a point to a line
equations of a plane (scalar-product, Cartesian, parametric form)
distance from a point to a plane
point of intersection between a plane and a line
point of reflection about a plane
acute angle between a plane and a line
angle between two planes
intersection of two planes
intersection of three planes
distance between two planes
Along the way, there will be quizzes and practice questions for you to get familiarized with the concepts relating to vectors. There are also several bonus lectures which will further enhance your understanding of the topic. If you encounter any problems, please do not hesitate to contact me for more clarifications.
I hope that you will find this course useful in your academic pursuit. Enjoy the course! Cheers!
Dr Ling, PhD
Who Should Attend!
- College students who need a good foundation in vector algebra
- GCE/IGCSE A levels mathematics students
- IB HL Math students
