Classical Vector Algebra became the "gold standard" because it was practical. It allowed us to build bridges, fly planes, and understand electricity without the overhead of 4D hyper-complex numbers.
The (measuring the area between them and their perpendicular direction). 3. The "Vector Wars" Classical Vector Algebra (Textbooks in Mathemat...
The traditionalists were furious. , Hamilton’s successor, called Gibbs’s new algebra a "hermaphrodite monster." He believed that by removing the "quaternion" structure, Gibbs and Heaviside were destroying the mathematical soul of physics. Classical Vector Algebra became the "gold standard" because
They split quaternion multiplication into two distinct operations: Classical Vector Algebra (Textbooks in Mathemat...
But Heaviside didn't care about "mathematical elegance." He was a telegraph engineer who wanted tools that worked. He famously said, "Vectors are a great help to a man who has any physics in him." He used this "new" vector algebra to condense Maxwell’s 20 original equations down to the 4 we use today. 4. Victory and the Modern Textbook
The (measuring how much vectors go in the same direction).
