Master the Fundamentals 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
- Basic vector knowledge in elementary mathematics level
- Able to carry out basic mathematical operations
- Be proficient in the basic use of a graphic calculator
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 this course is for:
- College students who need a good foundation in vector algebra
- GCE/IGCSE A levels mathematics students
- IB HL Math students
Hi everyone! I am Dr Daniel Ling and I am a lecturer in Singapore with more than 16 years of experience teaching and tutoring Math and Physics. I have taught students from various top schools in Singapore such as the Raffles Girls’ School, Dunman High School, Catholic High School (CHS), Nanyang Girls’ High School, Nanhua High School, ACS(Independent), SJI, School of the Arts, Xinmin Sec School, Holy Innocents’ High School, Raffles Institution (formerly Raffles JC), National JC, St Andrew JC, Serangoon JC, Nanyang JC, Jurong JC, Tampines JC etc.
Currently, I am an associate lecturer at a private school where I teach Physics and Mathematics to both local and international students under the school’s GCE O/A Levels preparatory courses.
I possesses a bachelor degree in Electrical Engineering (2nd Upper Hons) from NUS, a Post-Graduate Diploma in Education (Credit) from NIE, a MBA from Australian Institute of Business and a Master of Education (M.Ed) from Aspen University, United States, specializing in curriculum development and outcome assessment. I also hold a PhD in Education from Asia e University.
I am passionate about mathematics and physics and I hope to share my passion with all my students!