Vector Algebra
Created by Ridhi Arora, Last Updated 13-Aug-2019, Language:English
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
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Vector Algebra
3 Lectures 00:18:25-
Vector Algebra Syllabus
Preview00:09:04 -
Overview of Vector
Preview00:05:13 -
Representation of Vectors
00:04:08
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Types of Vectors
14 Lectures 00:22:22-
Zero Vector
Preview00:01:30 -
Unit Vector
Preview00:01:58 -
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
Preview00:01:49 -
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
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Negative of a Vector
1 Lectures 00:01:54-
Negative of Vector Overview
00:01:54
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Addition of Vector
2 Lectures 00:17:48-
Addition of Vector Overview
00:11:00 -
Properties of Addition of Vector
00:06:48
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Multiplication by Scalar
2 Lectures 00:02:53-
Overview of Multiplication by Scalar
00:01:46 -
Properties of Multiplication by Scalar
00:01:07
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Position Vector
2 Lectures 00:04:53-
Overview of Position Vector
00:02:03 -
Position Vector Problem Example
00:02:50
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Section Formulae
5 Lectures 00:16:10-
Overview of Section Formulae
Preview00:02:06 -
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
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Components of Vector in 2D
5 Lectures 00:12:02-
Overview of Components of Vector in 2D
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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
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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
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Direction Cosines & Direction Ratios
11 Lectures 00:25:16-
Definition of Direction Cosines
Preview00:01:42 -
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
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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
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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
Preview00:03:40 -
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
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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
Preview00:02:44 -
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
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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
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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.