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

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).