Multiplication of vectors

Two 2-dimensional vectors, each elements are multiplied

This is a simple multiplication in which the individual elements of a vector are multiplied by the corresponding element of the other vector. See the description below.

The multiplication to the vector product or cross product can be found here on other pages.

To perform the multiplication enter the vectors, then click the 'Calculate' button. Empty elements are counted as 0.

Description of vector multiplication

Vectors are multiplied by multiplying the individual elements of the first vector by the corresponding elements of the second vector.

\(\displaystyle\left[\matrix{x1\\y1}\right] \cdot \left[\matrix{x2\\y2}\right] = \left[\matrix{x1 \cdot x2\\y1 \cdot y2}\right]\)

Example

\(\displaystyle\left[\matrix{2\\3}\right] \cdot \left[\matrix{4\\5}\right] = \left[\matrix{2 \cdot 4\\3 \cdot5}\right]= \left[\matrix{8\\15}\right]\)