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Chapter 10 Class 12 Vector Algebra

Master Chapter 10 Class 12 Vector Algebra with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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Learn Chapter 10 Class 12 Vector Algebra free with solutions of all NCERT Questions, Examples as well as Supplementary Questions from NCERT.

 

Suppose we have to go 10km from Point A to Point B.

This 10km is the distance travelled.

It is only value - 10, nothing else.

This is a scalar quantity.

 

Now, suppose we say, 

We go 10 km East from Point A to Point B.

So, we have travelled 10 km East

It has value - 10, and direction - East.

So, this is a vector quantity.

 

In this chapter, we will talk about vectors. The topics include

  • Basics - Difference between scalars and vectors, with example
  • Graphical Displacement - Where we represent Displacement like 40 km, 30° East of North, in the Graph.
  • We also discuss what is a position vector, and different types of vectors
  • Then we learn what happens when a scalar is multiplied to a vector
  • We learn what are Equal Vectors and Unit Vectors, and do some questions on them
  • Finding Direction Ratios and Direction Cosines
  • Then, adding two vectors
  • Finding vector joining two points
  • Section formula in vectors
  • Checking if 3 points make a right angled triangle
  • Checking if 2 vectors are collinear
  • Checking if 3 points (or vectors) are collinear
  • Then, Scalar Product of Vectors and its properties
  • Finding projection using scalar product
  • Vector product of vectors, and its properties
  • Finding area using vector product (Area of parallelogram = Vector Product)

 

All the questions are solved, with step by step explanation. Click on an exercise or a topic to start learning

Serial order wise

Ex 10.1 Start Learning
Ex 10.2 Start Learning
Ex 10.3 Start Learning
Ex 10.4 Start Learning
Ex 10.5 (Supplementary NCERT) Start Learning
Examples Start Learning
Miscellaneous Start Learning
Supplementary examples and questions from CBSE Start Learning
Case Based Questions (MCQ) Start Learning

Concept wise

Scalar or vector Start Learning
Graphical displacement Start Learning
Type of vector Start Learning
Multiplication of a vector by a scalar Start Learning
Equal vectors Start Learning
Unit vector Start Learning
Direction cosines and ratios Start Learning
Addition(resultant) of vectors Start Learning
Joining two points Start Learning
Section formula Start Learning
Right Angled triangle Start Learning
Collinearity Of two vectors Start Learning
Collinearity of 3 points or 3 position vectors Start Learning
Scalar product - Defination Start Learning
Scalar product - Projection Start Learning
Scalar product - Solving Start Learning
Vector product - Defination Start Learning
Vector product - Area Start Learning
Vector product - Solving Start Learning

Why Learn This With Teachoo?

Learn Chapter 10 Class 12 Vector Algebra free with solutions of all NCERT Questions, Examples as well as Supplementary Questions from NCERT.

 

Suppose we have to go 10km from Point A to Point B.

This 10km is the distance travelled.

It is only value - 10, nothing else.

This is a scalar quantity.

 

Now, suppose we say, 

We go 10 km East from Point A to Point B.

So, we have travelled 10 km East

It has value - 10, and direction - East.

So, this is a vector quantity.

 

In this chapter, we will talk about vectors. The topics include

  • Basics - Difference between scalars and vectors, with example
  • Graphical Displacement - Where we represent Displacement like 40 km, 30° East of North, in the Graph.
  • We also discuss what is a position vector, and different types of vectors
  • Then we learn what happens when a scalar is multiplied to a vector
  • We learn what are Equal Vectors and Unit Vectors, and do some questions on them
  • Finding Direction Ratios and Direction Cosines
  • Then, adding two vectors
  • Finding vector joining two points
  • Section formula in vectors
  • Checking if 3 points make a right angled triangle
  • Checking if 2 vectors are collinear
  • Checking if 3 points (or vectors) are collinear
  • Then, Scalar Product of Vectors and its properties
  • Finding projection using scalar product
  • Vector product of vectors, and its properties
  • Finding area using vector product (Area of parallelogram = Vector Product)

 

All the questions are solved, with step by step explanation. Click on an exercise or a topic to start learning