Multiplication of vectors

Two vectors with two elements each 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 on the right.

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

To perform the calculation, enter the vectors that are to be calculated and click the Calculate button. Empty fields are counted as 0.

Vector multiplication calculator  Input Delete Entries Vector 1 Vector 2 Result * = Decimal places 0 1 2 3 4 6 8 10

Description of vector multiplication

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

\(\displaystyle\left[\matrix{x1\\y1\\z1\\w1}\right] \cdot \left[\matrix{x2\\y2\\z2\\w2}\right] = \left[\matrix{x1 \cdot x2\\y1 \cdot y2\\z1 \cdot z2\\w1 \cdot w2}\right]\)

Example

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