Master the Fundamentals of Vectors

Master the Fundamentals of Vectors, available at $44.99, has an average rating of 4.58, with 48 lectures, 2 quizzes, based on 6 reviews, and has 425 subscribers.

You will learn about 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 This course is ideal for individuals who are College students who need a good foundation in vector algebra or GCE/IGCSE A levels mathematics students or IB HL Math students It is particularly useful for College students who need a good foundation in vector algebra or GCE/IGCSE A levels mathematics students or IB HL Math students.

Enroll now: Master the Fundamentals of Vectors

Summary

Title: Master the Fundamentals of Vectors

Price: $44.99

Average Rating: 4.58

Number of Lectures: 48

Number of Quizzes: 2

Number of Published Lectures: 47

Number of Published Quizzes: 2

Number of Curriculum Items: 50

Number of Published Curriculum Objects: 49

Original Price: $54.99

Quality Status: approved

Status: Live

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

Who Should Attend

College students who need a good foundation in vector algebra
GCE/IGCSE A levels mathematics students
IB HL Math students

Target Audiences

College students who need a good foundation in vector algebra
GCE/IGCSE A levels mathematics students
IB HL Math students

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

Course Curriculum

Chapter 1: Introduction to Vectors

Lecture 1: Introduction to Vectors

Lecture 2: Practice 1 Questions and Answers

Chapter 2: Vector Addition and Subtraction

Lecture 1: Vector Addition and Subtraction

Lecture 2: Practice 2 Questions and Answers

Chapter 3: Ratio Theorem

Lecture 1: Ratio Theorem

Lecture 2: Practice 3 Questions and Answers

Chapter 4: Vector Representations in Cartesian Plane

Lecture 1: Vector Representations in Cartesian Plane

Lecture 2: Practice 4 Questions and Answers

Chapter 5: Scalar Product of Vectors

Lecture 1: Scalar Product of Vectors

Lecture 2: Practice 5 Questions and Answers

Chapter 6: Length of Projection

Lecture 1: Length of Projection

Lecture 2: Practice 6 Questions and Answers

Chapter 7: Vector(Cross) Product (GCE A levels and IB only)

Lecture 1: Vector(Cross) Product (College Level/GCE A levels/IB HL)

Lecture 2: Practice 7 Questions and Answers

Chapter 8: Vectors Quiz 1

Chapter 9: Vectors involving Straight Lines

Lecture 1: Vector Equation of a Straight Line

Lecture 2: Practice 8 Questions and Answers

Lecture 3: Cartesian Equation of a Straight Line

Lecture 4: Practice 9 Questions and Answers

Lecture 5: Relationships between Two Lines

Lecture 6: Practice 10 Questions and Answers

Lecture 7: Acute Angle between Two Lines

Lecture 8: Practice 11 Questions and Answers

Lecture 9: Shortest Distance from a Point to a Line

Lecture 10: Practice 12 Questions and Answers

Chapter 10: Vectors involving Planes (for GCE A levels and IB HL)

Lecture 1: Equation of a Plane in Parametric Form (College Level/GCE A levels/IB HL)

Lecture 2: Practice 13 Questions and Answers

Lecture 3: Equation of a Plane in Scalar Product Form (for GCE A levels and IB HL)

Lecture 4: Practice 14 Questions and Answers

Lecture 5: Equation of a Plane in Cartesian Form (College Level/GCE A levels/IB HL)

Lecture 6: Practice 15 Questions and Answers

Lecture 7: Distance from a Point to a Plane (College Level/GCE A levels/IB HL)

Lecture 8: Practice 16 Questions and Answers

Lecture 9: Point of Intersection between a Plane and a Line (College Level/GCE A levels/IB

Lecture 10: Practice 17 Questions and Answers

Lecture 11: Foot of Perpendicular from a Point to a Plane (College Level/GCE A levels/IB HL)

Lecture 12: Practice 18 Questions and Answers

Lecture 13: Acute Angle between a Plane and a Line (College Level/GCE A levels/IB HL)

Lecture 14: Practice 19 Questions and Answers

Lecture 15: Angle between Two Planes (College Level/GCE A levels/IB HL)

Lecture 16: Practice 20 Questions and Answers

Lecture 17: Intersection of Two Planes (College Level/GCE A levels/IB HL)

Lecture 18: Practice 21 Questions and Answers

Lecture 19: Intersection of Three Planes (College Level and IB HL)

Lecture 20: Practice 22 Questions and Answers

Chapter 11: Vectors Quiz 2

Chapter 12: Summary and Conclusions

Lecture 1: Summary and Conclusions

Lecture 2: Bonus (Distance between Two Planes)

Lecture 3: Bonus (Problem-Solving Questions)

Instructors

Dr Ling Meng Kay Daniel, PhD
Associate Lecturer and Academic Coach

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3 stars: 1 votes
4 stars: 1 votes
5 stars: 4 votes

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