The action of performing algebraic operations on vectors, mostly Euclidean vectors, is called as vector algebra. Operations on vectors in two-dimensional and three-dimensional space are extensively studied in courses on Mathematical Physics.
The various algebraic operations that are performed on vectors are:
- Addition & Subtraction
- Multiplication & Division by a Scalar Quantity
- Inner Product, Norm & Length
- Unit Vectors & Normalization
- Angles & Orthonormality
- Orthogonal projection
- Orthogonal bases and Subspaces
Also, learn about the multiplication of two vectors and the projection of a vector on a line. These topics are stated in the NCERT Textbook with minimal difficulty so any newcomer will be able to understand it. But to prepare the topic of vector algebra for your upcoming board exams and Competitive exams, RD Sharma is an option you should be already working on. Offering a higher difficulty level on their questions, they will help you get deeper into the topic. To help you in this task s why we have RD Sharma solutions Class 12 Chapter 23: Algebra of Vectors, in case you get a hitch along the way.
Algebra of Vectors Class 12th RD Sharma Exercises