What is constant vector?

A constant vector is a vector whose magnitude and direction do not change with respect to time or any other variable. This means that each of its components remains constant.

• Definition: A vector v is constant if dv/dt = 0, where t represents time.

• Components: In a 2D Cartesian coordinate system, a constant vector can be represented as v = (a, b), where 'a' and 'b' are constants. Similarly, in 3D, v = (a, b, c), where a, b, and c are constants.

• Examples:

  • The <a href="https://www.wikiwhat.page/kavramlar/zero%20vector">zero vector</a> is a constant vector because all its components are zero.
  • A vector representing the initial velocity of an object at rest is a constant vector.

• Applications: Constant vectors are used as a starting point in many physical and mathematical operations, such as calculating the resultant vector and establishing the coordinate system.

• Operations: Scalar multiplication and vector addition of constant vectors result in another constant vector.