Vector Algebra

Simply Easy Learning

Created by Ridhi Arora, Last Updated 13-Aug-2019, Language:English

Description

Vectors are fundamental in the physical sciences.In pure mathematics, a vector is any element of a vector space over some field and is often represented as a coordinate vector. In thermodynamics, where many of the quantities of interest can be considered vectors in a space with no notion of length or angle. Due to the widespread use of vectors, we take up this video series which is based on vectors for class 12 students

Audience

These video classes have been designed for Class 12 students (Non-medical students and commerce students with Mathematics), those who are preparing for CBSE and other Board Exams for Intermediate, +2 and IIT JEE entrance exams. These classes will also be helpful for students in preparing them for Competitive Examinations for Engineering Institutes like IIT JEE etc.

Course Content

Vector Algebra

3 Lectures 00:18:25
- Vector Algebra Syllabus
  
  Preview
  
  00:09:04
- Overview of Vector
  
  Preview
  
  00:05:13
- Representation of Vectors
  
  00:04:08
Types of Vectors

14 Lectures 00:22:22
- Zero Vector
  
  Preview
  
  00:01:30
- Unit Vector
  
  Preview
  
  00:01:58
- Like & Unlike Vectors
  
  00:00:58
- Collinear Vectors
  
  00:01:30
- Parallel Vectors
  
  00:00:55
- Coinitial Vectors
  
  00:01:12
- Coplanar Vectors
  
  00:00:50
- Coterminous Vectors
  
  00:01:36
- Equal Vectors
  
  00:01:33
- Localized & Free Vectors
  
  Preview
  
  00:01:49
- Types of Vectors Problem Example 1
  
  00:01:50
- Types of Vectors Problem Example 2
  
  00:01:42
- Types of Vectors Problem Example 3
  
  00:02:13
- Types of Vectors Problem Example 4
  
  00:02:46
Negative of a Vector

1 Lectures 00:01:54
- Negative of Vector Overview
  
  00:01:54
Addition of Vector

2 Lectures 00:17:48
- Addition of Vector Overview
  
  00:11:00
- Properties of Addition of Vector
  
  00:06:48
Multiplication by Scalar

2 Lectures 00:02:53
- Overview of Multiplication by Scalar
  
  00:01:46
- Properties of Multiplication by Scalar
  
  00:01:07
Position Vector

2 Lectures 00:04:53
- Overview of Position Vector
  
  00:02:03
- Position Vector Problem Example
  
  00:02:50
Section Formulae

5 Lectures 00:16:10
- Overview of Section Formulae
  
  Preview
  
  00:02:06
- Internal Division
  
  00:04:51
- External Division
  
  00:01:13
- Section Formula Problem Example 1
  
  00:04:18
- Section Formula Problem Example 2
  
  00:03:42
Components of Vector in 2D

5 Lectures 00:12:02
- Overview of Components of Vector in 2D
  
  00:02:37
- Operations on Components of Vector in 2D
  
  00:02:01
- Components of Vector in 2D Problem Example 1
  
  00:02:58
- Components of Vector in 2D Problem Example 2
  
  00:02:51
- Components Of Vector In 2D Problem Example 3
  
  00:01:35
Components of Vector in 3D

5 Lectures 00:15:16
- Overview of Components of Vector in 3D
  
  00:02:22
- Operations on Components of Vector in 3D
  
  00:02:59
- Components of Vector in 3D Problem Example 1
  
  00:01:59
- Components of Vector in 3D Problem Example 2
  
  00:01:59
- Components of Vector in 3D Problem Example 3
  
  00:05:57
Direction Cosines & Direction Ratios

11 Lectures 00:25:16
- Definition of Direction Cosines
  
  Preview
  
  00:01:42
- Details on Direction Cosines
  
  00:01:44
- Definition of Direction Ratios
  
  00:01:37
- Details on Direction Ratios
  
  00:02:25
- Results on Direction Ratios
  
  00:03:27
- Direction Cosines and Ratios Problem Example 1
  
  00:03:32
- Direction Cosines and Ratios Problem Example 2
  
  00:02:08
- Direction Cosines and Ratios Problem Example 3
  
  00:02:52
- Direction Cosines and Ratios Problem Example 4
  
  00:02:18
- Direction Cosines and Ratios Problem Example 5
  
  00:01:34
- Direction Cosines and Ratios Problem Example 6
  
  00:01:57
Dot Product

11 Lectures 00:28:54
- Definition of Dot Product
  
  00:01:34
- Details on Dot Product
  
  00:01:14
- Projection of Vectors
  
  00:03:02
- Geometrical Interpretation of Dot Product
  
  00:02:27
- Properties of Dot Product
  
  Preview
  
  00:03:40
- Dot Product Problem Example 1
  
  00:04:26
- Dot Product Problem Example 2
  
  00:01:09
- Dot Product Problem Example 3
  
  00:01:16
- Dot Product Problem Example 4
  
  00:02:06
- Dot Product Problem Example 5
  
  00:03:15
- Dot Product Problem Example 6
  
  00:04:45
Cross Product

12 Lectures 00:38:31
- Definition of Cross Product
  
  00:01:53
- Details on Cross Product
  
  00:01:48
- Geometrical Interpretation of Cross Product
  
  00:04:08
- Properties of Cross Product
  
  00:04:16
- Components of Cross Product
  
  00:06:16
- Vector Normal to Plane
  
  00:01:33
- Important Results on Cross Product
  
  Preview
  
  00:02:44
- Lagrange’s Identity
  
  00:03:06
- Cross Product Problem Example 1
  
  00:03:57
- Cross Product Problem Example 2
  
  00:02:50
- Cross Product Problem Example 3
  
  00:02:37
- Cross Product Problem Example 4
  
  00:03:23
Scalar Triple Product

3 Lectures 00:05:56
- Overview of Scalar Triple Product
  
  00:01:05
- Geometrical Interpretation of Scalar Triple Product
  
  00:02:23
- Properties of Scalar Triple Product
  
  00:02:28

Ridhi Arora

Ridhi Arora holds a B. Tech Honors - Gold medalist in Computer Science. Ridhi is an ardent learner, a keen observer and a passionate Mathematics faculty for classes 11,12 and IIT JEE Mains. She is among the top 10 most viewed writers in Kota, Rajasthan, on Quora. Ridhi is also associated with Ganit Hub as Algebra HOD and Miracle Live Coaching Private Limited as a Mathematics faculty. Ridhi is a confident and dynamic trainer with a total teaching experience of 5+ years.