Vector Product

The vector product, also known as the cross product, is a mathematical operation that takes two vectors as input and produces a new vector as output.

In linear algebra, the vector product of two vectors a and b is denoted by a × b or a ⋅ b (dot product). The resulting vector is perpendicular to both a and b.

Example in Code

// Define two vectors
let a = [1, 2, 3];
let b = [4, 5, 6];

// Calculate the cross product
let result = [a[1]*b[2] - a[2]*b[1],
              a[2]*b[0] - a[0]*b[2],
              a[0]*b[1] - a[1]*b[0]];

console.log(result); // Output: [-3, 6, 3]

Note that this is a simplified example and the actual implementation may vary depending on the programming language and library being used.