3D Vector Transformer
Visualize how a 3D vector changes when transformed by a matrix.
Input
Vector (x, y, z)
Transformation Matrix (3x3)
Result
Transformed Vector:
3D Visualization
About 3D Vector Transformation
In linear algebra, transforming a 3D vector using a 3x3 matrix is a fundamental operation. It's used extensively in computer graphics, robotics, and physics simulations to rotate, scale, or shear vectors in 3D space. A transformation matrix alters the vector's direction and magnitude. For example, in game development, these transformations are crucial for manipulating objects in a 3D world. This tool helps visualize and calculate these transformations, making it easier to understand their effect. Explore different matrices to see how they change the initial vector.