Subject specialists have created NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra, which includes thorough solutions for reference. All of the questions from the textbook’s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Solutions for Class 12 provide useful solutions for improving conceptual knowledge.
The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Solutions for Class12. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 12pupils perform well in upcoming competitive exams.
The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.
The topics and subtopics covered in Chapter 10- Vector Algebra of NCERT Solutions for Class 12 are as follows:
10.1 Introduction
10.2 Basic Concepts
- Position Vector
- Direction Cosines
10.3 Types of Vectors
- Zero Vector
- Unit Vector
- Coinitial Vectors
- Collinear Vectors
- Equal Vectors
- Negative of a Vector
10.4 Addition of Vectors
- Properties of vector addition
10.5 Multiplication of a Vector by a Scalar
10.5.1 Components of a vector
10.5.2 Vector joining two points
10.5.3 Section formula
10.6 Product of Two Vectors
10.6.1 Scalar (or dot) product of two vectors
10.6.2 Projection of a vector on a line
10.6.3 Vector (or cross) product of two vectors
Exercise-wise number of questions in NCERT Solutions for Class 12 Maths Chapter 10 are:
Exercise 10.1 Solutions 5 Questions
Exercise 10.2 Solutions 19 Questions
Exercise 10.3 Solutions 18 Questions
Exercise 10.4 Solutions 12 Questions
Miscellaneous Exercise On Chapter 10 Solutions 19 Questions
NCERT Solutions for Class 12 Maths Chapter 10- Vector Algebra
The unit Vectors and Three-Dimensional Geometry includes the chapter Vector Algebra, which accounts for 14 of the total marks. This chapter includes four exercises as well as a miscellaneous activity to assist students to grasp the principles of vectors and vector algebra. The following are some of the topics covered in the tenth chapter of NCERT Solutions for Class 12 Maths:
- The direction ratios of a vector’s scalar components describe its projections along the corresponding axes.
- Any vector’s magnitude (r), direction ratios (a, b, c), and direction cosines (l, m, n) are related as l=(a/r), m=(b/r), and n=(c/r), respectively.
- The vector sum of a triangle’s three sides, taken in order, is 0.
- The diagonal of the parallelogram whose adjacent sides are the provided vectors gives the vector sum of two beginning vectors.
- When a given vector is multiplied by a scalar |λ, the magnitude of the vector is changed by the multiple |λ, but the direction remains the same (or is reversed) as long as the value of |λ is positive (or negative).
Going through Chapter 10 of the NCERT textbook for Class 12 will help you understand the various concepts and subjects covered in the NCERT Solutions for this chapter.
Key Features of NCERT Solutions for Class 12 Maths Chapter 10- Vector Algebra
Students who study Class 12 Vector Algebra utilizing the NCERT Solutions will be able to understand the following: The magnitude and direction of a vector, as well as vectors and scalars. A vector’s direction cosines and direction ratios. Vector types (equal, unit, zero, parallel, and collinear vectors), position vector of a point, negative of a vector, components of a vector, vector addition, vector multiplication by a scalar, and the position vector of a point splitting a line segment in a certain ratio Scalar (dot) product of vectors, vector (cross) product of vectors, and scalar triple product of vectors: definition, geometrical interpretation, properties, and applications. NCERT Solutions for Class 12 Maths Chapter 10 can be used as a quick reference to help students understand complicated concepts.
Frequently Asked Questions on NCERT Solutions for Class 12 Maths Chapter 10
- How many questions are present in each exercise of NCERT Solutions for Class 12 Maths Chapter 10?
- What are the major concepts discussed in NCERT Solutions for Class 12 Maths Chapter 10?
- Where can I get exercise-wise answers for NCERT Solutions for Class 12 Maths Chapter 10?
1. How many questions are present in each exercise of NCERT Solutions for Class 12 Maths Chapter 10?
The number of questions in each exercise of NCERT Solutions for Class 12 Maths Chapter 10 is listed below:
Exercise 10.1 – 5 Questions
Exercise 10.2 – 19 Questions
Exercise 10.3 – 18 Questions
Exercise 10.4 – 12 Questions
Miscellaneous Exercise – 19 Questions
2. What are the major concepts discussed in NCERT Solutions for Class 12 Maths Chapter 10?
The concepts covered in NCERT Solutions for Class 12 Maths Chapter 10 are as follows:
10.1 – Introduction
10.2 – Basic Concepts
10.3 – Types of Vectors
10.4 – Addition of Vectors
10.5 – Multiplication of a vector by a scalar
3. Where can I get exercise-wise answers for NCERT Solutions for Class 12 Maths Chapter 10?
Students in Class 12 should select appropriate study materials to assist them in effectively solving textbook issues. Choosing the proper reference guide from the many available on the market takes time and patience. INFINITY LEARN provides PDF solutions to both chapter-specific and exercise-specific problems. Students can consult it while working on problems to get immediate answers to their questions.
