Vector Multiplication

The calculator on this page multiplies vectors with 2, 3 or 4 elements. This is a simple multiplication in which the individual elements of one vector are multiplied by the corresponding element of the other vector. See the description below.

The result is therefore not a vector or cross product. You can find the multiplication for the vector product or cross product here on other pages.

To calculate, select the number of elements (3 is the default). Enter the values of the two vectors to be multiplied. Then click on the 'Calculate' button

The value 0 is assumed for empty fields.

Formula

The vectors are multiplied here by multiplying the individual elements of the first vector with the corresponding elements of the second vector. The following is calculated:

\(\displaystyle\left[\matrix{x1\\y1\\z1}\right] \cdot \left[\matrix{x2\\y2\\z2}\right] = \left[\matrix{x1 \cdot x2\\y1 \cdot y2\\z1 \cdot z2}\right]\)

Example

\(\displaystyle\left[\matrix{2\\3\\4}\right] \cdot \left[\matrix{5\\4\\3}\right] = \left[\matrix{2 \cdot 5\\3 \cdot 4\\4 \cdot 3}\right]= \left[\matrix{10\\12\\12}\right]\)