based labs ai

magnitude of a vector

In a vibrant digital cosmos, visualize an intricate SVG landscape where glowing vectors stretch infinitely in all directions, forming a grand tapestry that pulsates with the essence of mathematical elegance. Each vector is represented by a luminous arrow, their pointed tips shimmering with the energy of the universe, while colorful lines radiate outward to form a mesmerizing grid. The magnitude of each vector appears as a brilliant, shifting halo around its shaft, illustrating a spectral dance of movement and strength. Near the center of the composition, a giant, translucent compass rose is superimposed, its arms rotating slowly, casting prismatic shadows on the web of vectors. This symbolic universe vibrates with the harmonious balance between direction and magnitude, celebrating the infinite possibilities within vector mathematics.