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Vector Algebra (Part I): A Pre-Calculus Series
Rating: 4.5 out of 5(35 ratings)
51 students

Vector Algebra (Part I): A Pre-Calculus Series

Master Vector Algebra: Basics, Properties, Dot & Cross products, their applications in various fileds
Created byPranav Trivedi
Last updated 12/2020
English

What you'll learn

  • Fundamentals of Vectors
  • Properties of Vectors
  • Laws of Vector Addition
  • Vector Addition, Substraction, Laws
  • Dot (Scalar) Product
  • Cross (Vector) Product
  • Finding area of 2D geometries using cross product
  • Application of Vector Algebra in Various fields
  • Fully Solved Examples
  • And Many more

Course content

6 sections52 lectures4h 21m total length
  • Introduction to Vectors & Difference between Scalar and Vector5:22
  • Representation of a Vector4:09
  • Magnitude of Vector and Concept of Unit vector11:19
  • Properties of Vectors11:34
  • Direction and Types of Vectors15:10
  • Module 1_Solved Examples - Part #14:10
  • Module 1_Solved Examples - Part #24:21
  • Module 1_Solved Examples - Part #33:39

Requirements

  • Basic Math knowledge
  • Trigonometry basics
  • Simplification of a determinant
  • Passion and interest for learning
  • Basic science knowledge will add a advantage

Description

Vector quantities are widely used and major impact on various engineering and science fields. Understanding the vector algebra, how the products of vectors and applications of the same are important in very competitive examinations. So this course is designed in a such way that it will fulfill both above persectives.


This course contains details about the vectors from the very basics to the intermediate level. The course is divided into 6 modules, rich with contents as follows:


Module 1: Basics of vector and scalars, Representation, Properties of vectors


Module 2: Laws of Vector addition, Components of vector


Module 3: Dot Product – Understaning, Importance, Significance and properties


Module 4: Cross Product – Understaning, Importance, Significance and properties


Module 5: Insights and Comparison between Dot & Cross products, Angle between two vectors, Important results


Module 6: Application part – Work done, Torque (moment), Area of a Triangle and Parallelogram


Each of the above modules has a detailed explanation of concepts followed by Solved examples.


Course has Lifetime access with support and doubt solving via the Q&A section.

The second part of this course will include higher level of concepts with application in 3D geometry as well.

So,

Enroll today and dive into the world of vectors.

Waiting for you inside the course!

- Pranav Trivedi



Who this course is for:

  • Engineering students
  • Mathematics and Physics major students want to learn about vectors
  • Undergraduate Science Students
  • College and University students
  • People interested in enhancing mathematical skills