https://www.udemy.com/course/mastery-of-vectors

What you'll 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

Requirements:

Basic vector knowledge in elementary mathematics level

Able to carry out basic mathematical operations

Be proficient in the basic use of a graphic calculator

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, PhDWho this course is for:College students who need a good foundation in vector algebraGCE/IGCSE A levels mathematics studentsIB HL Math students

Who this course is for:

College students who need a good foundation in vector algebra

GCE/IGCSE A levels mathematics students

IB HL Math students