Question

Что такое координаты вектора?

Answer 1

Точки соприкоосновения ветора с плоскостью

Answer 2

Координа́ты ве́ктора ― коэффициенты единственно возможной линейной комбинации базисных векторов в выбранной системе координат, равной данному вектору.

Answer 3

What are vector coordinates?

Vector coordinates refer to the numerical values that represent the position or direction of a vector in a given coordinate system. A vector is a mathematical object that has both magnitude (length) and direction. It is commonly represented by an arrow, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

In a two-dimensional coordinate system, such as the Cartesian coordinate system, vector coordinates are typically represented by two numbers (x, y), where 'x' represents the horizontal component and 'y' represents the vertical component of the vector. For example, the vector (3, 4) represents a vector with a horizontal component of 3 and a vertical component of 4.

In a three-dimensional coordinate system, such as the Cartesian coordinate system extended to three dimensions, vector coordinates are represented by three numbers (x, y, z), where 'x', 'y', and 'z' represent the components of the vector along the x-axis, y-axis, and z-axis, respectively.

The coordinates of a vector provide information about its position or direction relative to the coordinate system. By specifying the vector coordinates, we can uniquely identify and locate the vector in space.

Example: Consider a vector with coordinates (2, 3) in a two-dimensional Cartesian coordinate system. This means that the vector has a horizontal component of 2 and a vertical component of 3. The vector can be represented as an arrow starting from the origin (0, 0) and ending at the point (2, 3).