2D Vector Magnitude Calculator
The 2D Vector Magnitude Calculator helps you quickly find the length (or magnitude) of a two-dimensional vector using its X and Y components. Ideal for students, engineers, and anyone working with physics or geometry, this tool applies the Pythagorean theorem to deliver fast, accurate results.
Calculate the Length of a 2D Vector
Formula for Magnitude of a 2D Vector
The magnitude (or length) of a 2D vector represents the distance from the origin (0,0) to the point (x, y) in the Cartesian plane. This calculation is widely used in physics, engineering, robotics, and computer graphics. The formula is derived from the Pythagorean theorem, where x and y are the horizontal and vertical components of the vector. For example, if a vector has components x = 3 and y = 4, its magnitude is √(3² + 4²) = 5. This tool simplifies the process, making it easy to solve vector problems without manual computation.