A comprehensive vector calculator for students of physics and linear algebra. This tool supports both 2D and 3D vectors and can perform a wide range of operations. Capabilities include vector addition and subtraction, scalar multiplication, dot product, and cross product (for 3D vectors). It also instantly computes the magnitude (length) of a vector and can provide the normalized (unit) vector. The interface is clean and allows users to easily switch between 2D and 3D modes, making complex vector calculations straightforward and intuitive.