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Edited By Safeer PP | Updated on Jan 27, 2022 04:36 PM IST

RD Sharma books are ideal if a student wants to prepare for competitive exams like IIT JEE and others. All students who are preparing for the Class 12 Maths examination must practice a lot to get an excellent academic score. As a result, selecting the appropriate reference material to practice problems is critical. RD Sharma Solutions include precise solutions to all of the exercise problems found in RD Sharma Textbooks. These RD Sharma Solutions are available online and can be downloaded as a PDF for future reference at any time.

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Vector algebra is the action of performing algebraic operations on vectors, most notably Euclidean vectors. Operations on vectors in two- and three-dimensional space are extensively studied in Mathematical Physics courses. The different algebraic operations that can be performed on vectors are listed below.

Position and unit vector

Equality

Addition & subtraction of vectors

Multiplication & division by a scalar quantity

Collinear and non-collinear vectors

Direction ratios and direction cosines

Angles

Vector equation of the plane passing through the points

RD Sharma Class 12 Chapter 22 Solutions provide multiple solutions to a single problem, making it easier for students to select the method. Furthermore, a positive attitude toward preparation will assist a student in achieving high exam results.

When a student divides the syllabus so that level one is completed first and then level two is addressed, it is easier to grasp the subject. However, the issue that arises while studying these sums is that a student attempts to complete an entire unit in one go, which may be insufficient for the mind.

Students should go over each concept first, gain a better understanding, and then move on. Students should go over each idea first, develop a sense, and then move ahead. This way not only saves a lot of time but also increases productivity.

- Chapter 22- Algebra of vectors - Ex-22.1
- Chapter 22- Algebra of vectors - Ex-22.2
- Chapter 22- Algebra of vectors - Ex-22.3
- Chapter 22 - Algebra of vectors - Ex-22.4
- Chapter 22 - Algebra of vectors - Ex-22.5
- Chapter 22 - Algebra of vectors - Ex-22.6
- Chapter 22 - Algebra of vectors - Ex-22.7
- Chapter 22 - Algebra of vectors - Ex-22.8
- Chapter 22 - Algebra of vectors - Ex-22.9
- Chapter 22 - Algebra of vectors - Ex-FBQ
- Chapter 22 - Algebra of vectors - Ex-MCQ
- Chapter 22 - Algebra of vectors - Ex-VSA

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Download E-bookA student will learn about vector multiplication and vector projection on a line in this lesson. These topics are presented in the NCERT Textbook with minimal difficulty so that any newcomer can understand them. However, RD Sharma is a good option for preparing the topic of vector algebra for your upcoming board exams and competitive exams. Increasing the difficulty level of their questions will allow you to delve deeper into the subject. We have RD Sharma Solutions Class 12 Chapter 22: Algebra of Vectors to assist you with this task in case you run into any difficulties.

These solutions are the best textbook substitutes because they cut time in half while maximizing productivity. Furthermore, Class 12 RD Sharma solutions Chapter 22 covers all of the important exam questions. Students will be able to compete better in class if they study from RD Sharma Class 12 Solutions Chapter 22.

When a student studies these solutions, the fundamental understanding of the concepts is clear, and it is simple to comprehend more complex topics. When students solve each question from a textbook, their time management is nil, and their understanding of the concept suffers, resulting in low grades. So, once you understand the concept, you should go over RD Sharma Class 12 Chapter 22 Solutions once more to ensure good grades.

Career360's RD Sharma Class 12 Chapter 22 solutions are updated with the latest syllabus.

Many students have benefited from these solutions and have passed with flying colours. It is recommended to use RD Sharma Class 12 Chapter 22 Solutions to increase efficiency and reduce waste of time.

The following are the advantages of Career360's RD Sharma Class 12 Solutions Chapter 22:

The RD Sharma chapter solutions are available free of cost on websites like Careers360 which provides free RD Sharma study materials.

The solutions provided in the RD Sharma solutions are prepared by maths experts from across the country so it makes it worthy of practice.

The study materials and online PDFs of the RD Sharma solutions can easily be downloaded from the careers360 website.

- Chapter 1 - Relations
- Chapter 2 - Functions
- Chapter 3 - Inverse Trigonometric Functions
- Chapter 4 - Algebra of Matrices
- Chapter 5 - Determinants
- Chapter 6 - Adjoint and Inverse of a Matrix
- Chapter 7 - Solution of Simultaneous Linear Equations
- Chapter 8 - Continuity
- Chapter 9 - Differentiability
- Chapter 10 - Differentiation
- Chapter 11 - Higher Order Derivatives
- Chapter 12 - Derivative as a Rate Measurer
- Chapter 13 - Differentials, Errors and Approximations
- Chapter 14 - Mean Value Theorems
- Chapter 15 - Tangents and Normals
- Chapter 16 - Increasing and Decreasing Functions
- Chapter 17 - Maxima and Minima
- Chapter 18 - Indefinite Integrals
- Chapter 19 - Definite Integrals
- Chapter 20 - Areas of Bounded Regions
- Chapter 21 - Differential Equations
- Chapter 23 - Scalar Or Dot Product
- Chapter 24 - Vector or Cross Product
- Chapter 25 - Scalar Triple Product
- Chapter 26 - Direction Cosines and Direction Ratios
- Chapter 27 - Straight Line in Space
- Chapter 28 - The Plane
- Chapter 29 - Linear programming
- Chapter 30- Probability
- Chapter 31 - Mean and Variance of a Random Variable

1. Is this material sufficient for exam preparation?

From an exam standpoint, RD Sharma Class 12 Chapter 22 PDF format is the best source you can use because it is easy to understand.

2. Is it sufficient to solve the Solutions of Chapter 22 for board exam preparation?

Yes, these solutions are sufficient for the board exam preparation as it includes short questions and long questions.You can also prepare for competitive exams as well.

3. What is the weightage of RD Sharma Class 12 Maths Chapter 22 in the final board exams?

Scalar or dot products of vectors are the concepts covered in the Class 12th curriculum chapterAlgebra of Vectors. This chapter deals with products of various types for any given vector. In the final Boards examination, Algebra of Vectors is worth 4 to 5 points. According to the most recent scheme, the questions are divided into different sections of the question paper.

4. Describe the essential properties of scalar or dot products of vectors as mentioned in RD Sharma Chapter 22 in Class 12.

The essential properties of Scalars or dot products of vectors are as follows:

The commutative law applies to the scalar product of any two given vectors, i.e

a.b = b.a = |a|.|b|.cos.

For any 2 vectors, a and b (d.a).

e.b. = (d.b).

de a.b. = e.a.

Any vector a’s dot or scalar product with itself is the square of its magnitude, i.e. a.a = a2.

The dot or scalar product of the given vectors obeys the distributive law, namely, a.(b + c) = a.b + a.c.

5. What is the importance of RD Sharma solutions in studying Algebra of Vectors?

RD Sharma class 12 Chapter 22 solutions are available in PDF format. These solutions were precisely designed by subject experts with higher qualifications, keeping the students' mental level in mind. They use a more simple language to make them more accessible to students of all backgrounds.

6. How can I get complete benefit from the RD Sharma Solutions for Class 12 Maths Chapter 22?

Because all of the answers have been created by subject experts at Career360, students can rely on RD Sharma Solutions for Class 12th Maths Chapter 22 for exam preparation. Students will be able to write the correct answers to textbook questions if they practise the solutions provided in the solutions PDF.

7. Can I answer NCERT questions after studying these solutions?

Yes, once you've gone through RD Sharma solutions, you can answer the NCERT questions

8. Where can I find the solutions of RD Sharma Class 12?

Aspirants are advised to check Career360 website to get all chapters RD Sharma Class 12 Solutions for free.

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