1, starting point and ending point: a plane vector has starting point and ending point, the starting point indicates the starting position of the vector, and the ending point indicates the ending position of the vector. Size: The size of a plane vector indicates the length or amplitude of the vector, usually expressed by real numbers or signed real numbers. Direction: The direction of the plane vector indicates the direction indicated by the arrow pointing from the starting point to the end point of the vector.
2. Degree of Freedom: The plane vector has two degrees of freedom, that is, it can move freely on the plane while keeping its size and direction unchanged. Linear operation: the plane vector can perform linear operations such as addition, subtraction, multiplication and division, which satisfies the properties of commutative law, associative law and distributive law. Unit vector: A vector with the length of 1 is called a unit vector and can be used as a reference standard to measure the size of other vectors.
3. Zero vector: A vector with zero length and arbitrary direction is called a zero vector, which is a subset of all vectors. Equal vector: If two vectors are equal in size and direction, they are called equal vectors. Opposite vector: If two vectors are equal in size and opposite in direction, they are called opposite vectors.
Knowledge about planes.
1. plane is a basic geometric concept, which refers to a surface with infinite extension, no thickness difference and two dimensions of length and width. In mathematics and physics, plane is a very important concept and has a wide range of applications.
2. The definition of plane can be described from different angles. In geometry, a plane can be defined as a set of all points equidistant from a given point. This definition emphasizes the infinite ductility of the plane and the characteristics of no difference in thickness. In addition, a plane can also be defined as a uniquely determined surface determined by three points of a straight line that is not * * * *. This definition emphasizes the certainty and uniqueness of plane.
3. Airplanes are widely used. In analytic geometry, a plane is used to describe the positional relationship between points in space. By establishing the corresponding relationship between the points in space and the corresponding points on the plane, the geometric problems in space can be transformed into algebraic problems on the plane for research.
In physics, plane is used to describe various physical phenomena and laws, such as mechanics, electromagnetism, optics and so on. For example, the law of reflection and refraction of light can be described by the law of reflection and refraction of plane.