Vector Cross Product
GeometryEasyCompute signed area magnitude spanned by 2D vectors.
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Cross Product Vector Grid (Drag Origin A, U head, or V head)
Vector U:[4, 2]
Vector V:[1, 4]
Cross Product magnitude (signed area):14
Time Complexity
O(1) direct equation
Space Complexity
O(1) auxiliary
Conceptual Overview
The 2D Vector Cross Product (or skew product) U × V computes the signed area of the parallelogram spanned by the two vectors.
Mathematical Formula
U \times V = U.x \cdot V.y - U.y \cdot V.x = |U||V|\sin(\theta)
Source: CP-Algorithms geometry reference