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2021-02-24 02:37:24
30-Day Money-Back Guarantee
Teaching & Academics Math

Master the Fundamentals of Vectors

Master the fundamentals of vectors
Rating: 5.0 out of 55.0 (4 ratings)
396 students
Created by Dr Ling Meng Kay Daniel, PhD
Last updated 3/2019
English
English [Auto]
30-Day Money-Back Guarantee

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, 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

Course content

12 sections • 47 lectures • 4h 19m total length

  • Preview05:32
  • Practice 1 Questions and Answers
    06:36

  • Vector Addition and Subtraction
    06:00
  • Practice 2 Questions and Answers
    06:19

  • Ratio Theorem
    03:05
  • Practice 3 Questions and Answers
    04:55

  • Vector Representations in Cartesian Plane
    07:10
  • Practice 4 Questions and Answers
    03:32

  • Scalar Product of Vectors
    11:04
  • Practice 5 Questions and Answers
    02:40

  • Length of Projection
    04:12
  • Practice 6 Questions and Answers
    04:42

  • Vector(Cross) Product (College Level/GCE A levels/IB HL)
    14:36
  • Practice 7 Questions and Answers
    06:30

  • Vectors Quiz 1
    3 questions

  • Vector Equation of a Straight Line
    09:03
  • Practice 8 Questions and Answers
    04:49
  • Preview04:59
  • Practice 9 Questions and Answers
    04:17
  • Relationships between Two Lines
    09:18
  • Practice 10 Questions and Answers
    04:53
  • Acute Angle between Two Lines
    02:56
  • Practice 11 Questions and Answers
    03:40
  • Shortest Distance from a Point to a Line
    07:40
  • Practice 12 Questions and Answers
    07:04

  • Equation of a Plane in Parametric Form (College Level/GCE A levels/IB HL)
    05:12
  • Practice 13 Questions and Answers
    04:06
  • Equation of a Plane in Scalar Product Form (for GCE A levels and IB HL)
    05:10
  • Practice 14 Questions and Answers
    04:27
  • Equation of a Plane in Cartesian Form (College Level/GCE A levels/IB HL)
    10:43
  • Practice 15 Questions and Answers
    03:59
  • Distance from a Point to a Plane (College Level/GCE A levels/IB HL)
    08:49
  • Practice 16 Questions and Answers
    06:42
  • Point of Intersection between a Plane and a Line (College Level/GCE A levels/IB
    04:23
  • Practice 17 Questions and Answers
    04:32
  • Foot of Perpendicular from a Point to a Plane (College Level/GCE A levels/IB HL)
    05:39
  • Practice 18 Questions and Answers
    05:38
  • Acute Angle between a Plane and a Line (College Level/GCE A levels/IB HL)
    03:16
  • Practice 19 Questions and Answers
    04:11
  • Angle between Two Planes (College Level/GCE A levels/IB HL)
    03:30
  • Practice 20 Questions and Answers
    04:04
  • Intersection of Two Planes (College Level/GCE A levels/IB HL)
    03:55
  • Practice 21 Questions and Answers
    05:42
  • Intersection of Three Planes (College Level and IB HL)
    04:04
  • Practice 22 Questions and Answers
    05:14

Instructor

Dr Ling Meng Kay Daniel, PhD
Associate Lecturer and Academic Coach
Dr Ling Meng Kay Daniel, PhD
  • 4.5 Instructor Rating
  • 29 Reviews
  • 959 Students
  • 6 Courses

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!

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