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# NCERT Books Free Download for Class 12 Maths Chapter-10 Vector Algebra

Last updated date: 11th Sep 2024
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## NCERT Books for Class 12 Maths Chapter-10 Vector Algebra Free PDF Download

Free NCERT Books download for Class 12 Maths Chapter 10 - (Vector Algebra) on Vedantu.com. Students can also download the NCERT Textbooks Solutions in PDF for Class 6 to 12 all subjects. Register for Mathematics tuition to clear your doubts and score more in your exams.

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## NCERT Books Class 12 Maths Chapter 10

Vector Algebra is a very important concept that is utilised in both Mathematics and Physics, and the NCERT book for Class 12 Maths Chapter 10 Vector Algebra elaborates on it. If we need to determine the direction in which a tree is growing or the direction in which the ball must be hit to reach the goal, we must use the quantity known as a vector. As a result, a vector is defined as a quantity that has both direction and magnitude.

The Vector Algebra chapter in NCERT Class 12 Maths book is simple to comprehend and follows the most recent CBSE Syllabus 2024-25. Students gain confidence in taking the second term exams after completing several exercises and problem sets. Chapter 10 of NCERT Class 12 Maths book is also available in a free printable PDF format, allowing students to practise them offline.

### Importance of Vector Algebra

Students learn about the difference between a scalar and a vector quantity, their properties, vector operations, and more in the NCERT Class 12 Maths book’s Chapter 10 Vector Algebra.

The sums in Chapter 10 of the NCERT Class 12 Maths book are based on real-life examples that help learners understand the topic. The chapter begins with an overview of some fundamental vector concepts and builds on them to provide a thorough comprehension of more complex subjects.

There are various chapters in both Mathematics and Physics that need students to have a solid understanding of vectors. As a result, you must review the information contained in these links regularly and take notes on all of the procedures and formulae stated in them. The NCERT Books Class 12 Maths Chapter 10 Vector Algebra is provided below in PDF format so that students can access it easily and read and practice the chapter.

### NCERT Books Class 12 Maths Chapter 10 Formula List

Many formulae are used in Chapter 10 of NCERT Class 12 maths book to help perform arithmetic operations on vectors. The laws that apply to whole numbers or scalars do not apply to vectors as they have a direction of their own as well. As a result, the computations for vectors alter when this element is taken into consideration. In addition, several geometrical implications of vectors are discussed in this chapter, which contains additional formulas and processes. Below are the formulae from Chapter 10 of the NCERT Class 12 Maths book.

• If A and B are two vectors, then A.B = |A| |B| cos is the dot product.

• B = |A| |B| if = 0°, which means both A and B are pointing in the same direction.

• B = 0 if = 90°, which means A and B are orthogonal.

• The dot product of two vectors A = (A1, A2, A3,..... An) and B = (B1, B2, B3,..... Bn) is A.B = (A1B1 + A2B2 + A3B3..... AnBn).

## FAQs on NCERT Books Free Download for Class 12 Maths Chapter-10 Vector Algebra

1. What is the significance of Chapter 10 of the NCERT Class 12 Maths book?

The NCERT Solutions Class 12 Maths Chapter 10 are crucial because they show students how to apply the concept of vectors to a wide range of sums. This is beneficial not only for passing any Mathematical exams but also for improving their understanding of the subject of Physics. Students can also learn how to distinguish between the many types of scalar and vector quantities.

2. Is it necessary for me to practise all of the questions in Chapter 10 of the NCERT Class 12 Maths book?

In the NCERT Solutions Class 12 Maths Vector Algebra, there is a strong emphasis on performing calculations such as determining the dot and cross product of vectors, requiring students to fully master this concept. The only way to improve this ability is to practise all of the sums in the offered exercise. Furthermore, each amount has been properly arranged to provide a notion of some crucial component of the topic and should not be overlooked.

3. Why should I work on Vector Algebra Chapter 10 in NCERT Class 12 Maths Textbook?

NCERT Solutions Class 12 Maths Vector Algebra Chapter 10 must be practised in order for students to have confidence in themselves. If they properly solve the various sums given in the NCERT textbooks they will feel accomplished as well as be able to evaluate whether topics need to be reviewed due to a weak foundation. Students may ensure that they are thoroughly familiar with the topic by revising on a frequent basis, increasing their chances of receiving a decent grade on their exam. Vedantu provides these NCERT Solutions at free of cost on its website(vedantu.com) and mobile app.

4. What are the major topics in Chapter 10 of the NCERT Class 12 Maths Book?

All of the concepts discussed in Chapter 10 of NCERT Class 12 are equally important because they detail the various components of vectors, such as direction cosines, dot product, cross product, section formula, and associated properties. Furthermore, all of the topics are interconnected, implying that students cannot move on to the next section without first mastering the prior one.