Unit Vector Calculator

Unit Vector Calculator is a free browser-based math tool designed to normalize 2D and 3D vectors and help users understand each step of the calculation. Users can enter vector components in x, y, and z form to calculate the corresponding unit vector, original magnitude, i-j-k notation, direction angles, and direction cosines, or switch modes to solve for a missing component that makes a vector’s length equal to 1. The calculator updates results instantly as values are entered, includes detailed step-by-step solutions, supports decimals, negative values, and simple expressions, and provides interactive 2D and 3D diagrams for visualizing vector direction. It works without sign-up or downloads and is useful for students, teachers, engineers, programmers, physics learners, and anyone working with vector normalization, geometry, graphics, or coordinate-based calculations.