Vectors

• Vectors are crucial mathematical objects widely used in physics, engineering, and computer science.
• A vector is a geometric quantity with both magnitude and direction, represented as an arrow with a specified length and direction.
• Two main types of vectors are: position vectors that pinpoint a position in space relative to an origin, and displacement vectors that describe the change in position between two points.
• Various operations, including addition, subtraction, scalar multiplication, dot and cross products, form the foundation of vector analysis.
• Understanding vectors and their operations allows solving a vast range of problems involving motion, forces, and other real-world applications.