Dot products are an important mathematical operation in linear algebra, often used in vector calculus and mechanics. However, these products can also be referred to with various synonyms, each describing the same operation but with different terminology. Some such alternatives include scalar products, inner products, and Euclidean products, which all describe the same mathematical operation that involves taking the sum of the products of corresponding coordinates of two vectors. Other terms include dot products in Rn and dot products in Hilbert spaces. Despite their varying names, each synonym refers to the same fundamental operation, which is crucial to many applications in fields such as physics and engineering.