OPERATIONS ON VECTORS

Abstract
This article is devoted to the study of the basic operations performed on vectors. Vectors are widely used in geometry and physics, and the operations performed on them include analytical and computational methods. Examples of operations such as addition, subtraction, scalar and vector multiplication of vectors are given, and the scientific and practical significance of these operations is also considered. The article provides the mathematical foundations necessary for working with vectors and helps to provide students with the necessary knowledge in this area.
Keywords
vectors, vector operations, scalar multiplication, vector multiplication, geometric calculations with angular vectors between vectors, vectors in physics.
References
- Strang, G. (2007). Introduction to Linear Algebra (4th ed.). Wellesley-Cambridge Press.
- Anton, H., & Rorres, C. (2010). Elementary Linear Algebra: Applications Version (10th ed.). Wiley.
- Lay, D. C. (2012). Linear Algebra and Its Applications (4th ed.). Pearson.
- Stewart, J. (2007). Calculus: Early Transcendentals (6th ed.). Cengage Learning.
- Kreyszig, E. (2011). Advanced Engineering Mathematics (10th ed.). Wiley.
- Marsden, J. E., & Tromba, A. J. (2003). Vector Calculus (6th ed.). W.H. Freeman.
- Blanchard, S. R. (2009). Mathematical Methods for Physicists. Academic Press.
- Yuldasheva, M. K., & Kamilova, M. E. (2023). ANALYSIS OF FOREIGN AND DOMESTIC EXPERIENCE IN DESIGNING HISTORICAL LOW-RISE RESIDENTIAL BUILDINGS. Galaxy International Interdisciplinary Research Journal, 11(3), 147-152.
- Sears, F. W., & Zemansky, M. W. (1992). University Physics with Modern Physics (8th ed.). Addison-Wesley.
- Heald, M. A. (1987). Classical Electromagnetic Theory. Dover Publications.