vektorëve

Vectors are mathematical objects that have both magnitude and direction. They are commonly used in physics, engineering, and mathematics to represent quantities that have these two properties, such as force, velocity, and displacement. A vector is typically represented by an arrow in a diagram, with the length of the arrow corresponding to the magnitude of the vector and the direction of the arrow indicating the direction.

In two-dimensional space, a vector can be represented as an ordered pair of numbers (x, y), where x and y are the components of the vector along the x-axis and y-axis, respectively. In three-dimensional space, a vector can be represented as an ordered triple of numbers (x, y, z), where x, y, and z are the components along the x-axis, y-axis, and z-axis, respectively.

Vectors can be added and subtracted using vector addition and subtraction rules. The dot product of two vectors is a scalar quantity that is equal to the product of the magnitudes of the two vectors and the cosine of the angle between them. The cross product of two vectors is a vector that is perpendicular to both of the original vectors and has a magnitude equal to the area of the parallelogram formed by the two vectors.

Vectors are a fundamental concept in many areas of mathematics and science, and they are used extensively in the study of linear algebra, calculus, and physics. They are also used in computer graphics and game development to represent positions, velocities, and other quantities that have both magnitude and direction.