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RD Sharma Class 12 Solutions Chapter 23 - Algebra of Vectors (Ex 23.8) Exercise 23.8

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Last updated date: 23rd May 2024
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RD Sharma Class 12 Solutions Chapter 23 - Algebra of Vectors (Ex 23.8) Exercise 23.8 - Free PDF

Free PDF Download of RD Sharma Class 12 Solutions Chapter 23 - Algebra of Vectors Exercise 23.8 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 23 - Algebra of Vectors Ex 23.8 Questions with Solutions for RD Sharma Class 12 Maths to help you revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

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Competitive Exams after 12th Science

RD Sharma Solutions Chapter 23 Class 12 - Algebra of Vectors (Ex 23.8) Exercise 23.8

Class 12 Chapter 23 Algebra of Vectors RD Sharma

Vector is the quantity that has magnitude as well as direction. When we perform the algebraic operations on the vectors, it is called vector algebra or algebra of vectors. Below is the list of algebraic operations that you will learn in this particular chapter.

  • Transposition

  • Equality

  • Addition and Subtraction

  • Multiplication and Division with a scalar quantity

  • Angles and Orthogonality

  • Orthogonal projection

  • Law of triangle and parallelogram

  • Span


RD Sharma has provided these topics in a detailed manner; it is helpful for all students in their preparation for the CBSE board exam as this reference book follows the latest guidelines of the board.


Download the Solutions of Chapter 23 Class 12 RD Sharma

Class 12 maths experts of Vedantu have provided the solutions to the unsolved RD Sharma exercise 23.8. RD Sharma is the most helpful and researched reference book for your board examination. Also, it helps you clear the tough competitive exams like JEE. 


It is free to download as there is no cost involved; even you can download the solutions of sample papers and previous year papers that too are free. Sign in with your valid email id and download all these resources on your device.

FAQs on RD Sharma Class 12 Solutions Chapter 23 - Algebra of Vectors (Ex 23.8) Exercise 23.8

1. What is the use of Vector Algebra?

Vector is the quantity that has both magnitude and direction. Algebraic operations, for instance, addition, subtraction, multiplication, etc., can be performed on the vectors. An arrow over a letter represents a vector. There are numerous uses of vector algebra in mathematics and physics to constitute the quantities like velocity, acceleration, displacement. Also, you will see the application of vectors in partial differential equations. Vector Algebra is an important topic which is helpful to gain you good marks in the board examination, and in future to learn engineering science.

2. Explain the different types of vectors?

Vector Algebra has different types of vectors; each vector has its uniqueness. They are named based on their direction and magnitudes.

  • Zero Vectors - These vectors have zero magnitudes. Also known as the additive identity of vectors.

  • Unit Vectors - That has a magnitude equal to 1. Also called the multiplicative identity of vectors.

  • Orthogonal vectors - Two or more vectors are orthogonal if they make an angle of 90 degrees.

  • Parallel Vectors - Two vectors are parallel if they have the same direction but do not necessarily have the same magnitude. If the angles of the vectors differ by 180 degrees, it is called antiparallel vectors.

3. What is the weightage of Algebra of Vectors in the class 12 board examination?

Algebra of vectors is one of the trouble-free chapters to learn, and from an exam point of view, this chapter offers a chance to score ten crucial marks. NCERT and RD Sharma are helpful books to chase these ten marks. RD Sharma has included a wide variety of questions that you find lies in the array of easy to hard. Vedantu maths experts have crafted solutions for you to provide you best answers with detailed explanations.

4. Explain the law of the addition of vectors?

Two laws deal with the addition of vectors. The first is the Triangle Law of Addition, and another one is the Parallelogram Law of Addition of vectors.

  • Triangle law of addition of vectors

This law states that if two sides of the triangle represent the two vectors acting on a body in the same order, then the third side is the resultant vector of the two vectors.

  • Parallelogram law of addition of vectors

It states that when two co-initial acting vectors represent the two adjacent sides of the parallelogram, then the diagonal of the parallelogram represents the sum of those two vectors.

5. How to download the notes of the Algebra of vectors chapter 23 RD Sharma?

Vedantu has provided the notes of each chapter of class 12 to guide students in their preparation journey. You can download the notes of the algebra of vectors from the study material section on the website or install the mobile application of Vedantu to get it directly on your mobile phone for better convenience. These notes include the main topics to learn from the chapter; you can join our online class for maths to learn this topic directly from experts.