Founder @ "JEEnlight.com" | YouTube @ "Abhishek Mishra [IIT Kgp]" | PhD in Neuroscience, Germany | IIT Kharagpur B.Tech | Mathematics

Abhishek Mishra

Vector Algebra is one of the most important Mathematical tool, which we use to answer many real life questions. In this chapter we will build a solid foundation in Vector Algebra. Addition, multiplication by scalar, product of vectors - many things to learn in this chapter.

CBSE Class 12

English

Vector Algebra : Class XII NCERT Mathematics

Vectors

Vectors & 3-D Geometry

Mathematics

Class 6-12

Become a topper in your school and ace your board exams by learning from best educators in the country

CBSE

CBSE (Central Board of Secondary Education)

Welcome to the course. We have a look at the Course Overview. Different concepts which we will learn in this course of Vector Algebra.

Vector Algebra Course Overview

We understand how can we describe a point in our room using Position Vector.

Describe a point in your room using Position Vector

We understand the concept of Direction Cosines & Direction Ratios.

What do we mean by Direction Cosines ?

We learn about different types of Vectors. Zero Vectors, Coinitial Vectors, Collinear Vectors and more.

Types of Vectors

We understand how do we do Vector Addition. We also learn the Commutative & Associative Properties of Vector Addition.

Addition of Vectors

We understand multiplication of a vector by a scalar. We learn the concept of unit vector along x, y and z axis.

Unit Vector along x, y and z axis

We understand very important concepts in the chapter of Vector Algebra. The meaning of scalar and vector components of a Vector. And how do we use unit vectors along x, y and z axis to reach the desired point in 3D space.

Components of a Vector

We understand how to use the vector components of a vector.

How to use components of a Vector ?

We solve some examples using our knowledge of Components of Vector.

Solved Examples - Component of a Vector

We understand how do we find the position vector of a point, which divides a given line in the ratio m:n internally.

Section Formula for Internal Division

We understand how do we find the formula for external division. We also solve some examples based on our knowledge of Vector Algebra.

Section formula for external division.

We understand about the dot product (scalar product) of two vectors.

Dot Product of Two Vectors

We learn about some of the properties of dot product.

Properties of Dot Product of Two Vectors

We understand one of the most important concept in Vector algebra - Projection of a Vector on a directed line or on another vector. This concept is used in many different ways in Physics, Engineering.

Projection of a Vector

We understand how do we find the projection of a vector along x, y and z axis.

Projection of a Vector onto x, y and z axis.

We solve some examples problems using our knowledge of Projection of Vectors.

Projection of a Vector - Solved Examples

We solve some more problems, and understand how do we find if 3 points are Collinear using Vector Algebra.

Projection of a Vector - Solved Examples Part II

We get introduced to the very important concept of Vector (Cross) product between two vectors.

Vector(Cross) Product : Introduction

We understand concept of cross product and how it is related to 3D Geometry.

Vector(Cross) product : Properties

We understand some very important properties of cross product.

Vector(Cross) Product : Properties - Part 2

We solve some problems on cross product based on concepts of cross product.

Vector(Cross) product : Properties - Part 3

Deepak kumar
M.Sc(physics), B.Ed
L.T grade teacher(maths) 

Deepak Kumar

The course covers Vector Analysis for Class 12.

(Hindi) Crash Course on Vector Analysis: Class 12

🌟star educator| bachha party  ka SSP😊|YouTube  channel ~ sachin sir physics (376k sub.)| physics addictive ❤
  ||  physics is my life 😊♥️

Sachin Upadhyay

This Course is about Vectors. 
This Course is beneficial for Class 12 Students.

(Hindi) Vectors : Class 12

MSC MATHS 2014
BSC COMP SCI 2012
DCA 2012
 2YRS TEACHING EXP
PAST JOB PROFILE
LECTURER AT PARUL UNIVERSITY, BARODA
ASSI PROF. AT SCPS, NAGDA

Prabhjyot Kaur

In this course, Prabhjyot will be discussing Vector Algebra for Class 12. This course will cover topics on Magnitude, Unit Vector, Vector Components, Vectors, Scalars, Position Vector, Direction Cosines, Types of Vector, Vector Addition, Properties of Vector Addition, Collinear Vector, Vector Joining Two Points, Product of Vector and other topics. This course is helpful for BSC, Diploma Engineering and other aspirants.

(Hindi) Class 12 Mathematics - Vector Algebra

- more than 3 years teaching experience 
- Jee selected
- b.sc in maths

Devendra Jain

In this course, the educator is discussing Vector quantities, scalar quantities, vector product, scalar products, areas in vector and many examples for 
Class 12 Board

(Hindi) Vector for Class 12

🔷 YouTuber with more than 3.2 k Subscribers
🔷25 years teaching experience.
🔷I did my Masters in mathematics and also an BEd.

Anusuya Verma

Some most important questions which are based on straight line as well as plane all different types of questions which are based on these topics

Lessons

21 lessons • 3h 39m

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Vector Algebra Course Overview

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Describe a point in your room using Position Vector

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What do we mean by Direction Cosines ?

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Types of Vectors

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Addition of Vectors

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Unit Vector along x, y and z axis

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Components of a Vector

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How to use components of a Vector ?

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Solved Examples - Component of a Vector

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Section Formula for Internal Division

+ See all lessons