VECTORS: FUNDAMENTAL CONCEPTS, PROPERTIES,

Abstract

Vectors are among the most important concepts in mathematics, physics, engineering, and computer science. Unlike scalar quantities, vectors possess both magnitude and direction, making them essential for describing physical phenomena such as force, velocity, acceleration, and displacement. This paper examines the fundamental properties of vectors, vector operations, and their applications in various scientific disciplines. The study highlights the significance of vector algebra in solving geometric and real-world problems and demonstrates how vectors provide a mathematical framework for modeling complex systems.