Vector in $\mathbb{R}^3$ decomposed into its $\mathbf{i}$, $\mathbf{j}$, $\mathbf{k}$ components
This program displays a vector in R3 along with its projections onto the three coordinate axes, showing how any vector can be written as a sum of scalar multiples of the standard basis vectors i, j, and k. The component decomposition is the starting point for vector algebra and provides the link between geometric vectors and their coordinate representations as triples of numbers.
Controls: Click and drag to orbit, scroll to zoom.