Comparison of vector algebra and geometric algebra (source code)

= Comparison of vector algebra and geometric algebra
{wiki=Comparison_of_vector_algebra_and_geometric_algebra}

Vector algebra and geometric algebra are two mathematical frameworks used to study and manipulate vectors and their properties, but they have different focuses and methodologies. Below is a comparison of the two: \#\#\# Definition: - **Vector Algebra**: This is a branch of algebra that deals with vectors, which are objects that have both magnitude and direction. It typically involves operations such as addition, scalar multiplication, dot product, and cross product.