A vector has both magnitude and direction and based on this the two ways of multiplication of vectors are the dot product of two vectors and the cross product of two vectors.

Free vector multiplication math topic guide, including step-by-step examples, free practice questions, teaching tips and more!

Multiplication of two vectors is a little more complicated than scalar multiplication. Two types of multiplication involving two vectors are defined: the so-called scalar product (or "dot product") …

The dot product of two vectors can be defined as the product of the magnitudes of the two vectors and the cosine of the angle between the two vectors. Alternatively, it is defined as the product …

Jul 30, 2025 · As we have seen, multiplying a vector by a number is called scalar multiplication. If we multiply a vector by a vector, there are two possibilities: the dot product and the cross product.

OK, to multiply two vectors it makes sense to multiply their lengths together but only when they point in the same direction. So we make one "point in the same direction" as the other by …

The right hand rule for cross multiplication relates the direction of the two vectors with the direction of their product. Since cross multiplication is not commutative, the order of operations …

Learn multiplication of a vector by a scalar or vector, with formulas, rules, examples, and step-by-step methods. Understand vector multiplication and scalar quantity impact.

Oct 24, 2025 · Multiplication of Vectors Vectors have magnitude and direction, unlike scalars. When multiplying vectors, two main operations are used: the dot product and cross product. …

Vector multiplication techniques help us manipulate vectors. Master the two main types (dot product and cross product) here!