Enter the x,y, and x coordinates of two different vectors into the calculator. The calculator will display the inner product of those two vectors.

Inner Product Formula

The following equation is used to calculate the inner product of two vectors.

a * b = Ma * Mb * cos (x)
  • Where a and b are vectors
  • Ma and Mb are the magnitudes of those two vectors
  • x is the angle between vectors a and b

To calculate the inner product multiply the magnitudes of vectors a and b by the cosine of the angle between them.

Inner Product Definition

An inner product is a mathematical scalar value of the multiplication of two or more vectors of an undetermined size.

How to calculate inner product?

How to calculate an inner product

  1. First, determine the vectors a and b.

    Find the x,y, and z coordinates of the vectors.

  2. Next, calculate the magnitude and angle.

    Calculate the magnitudes of vectors a and b and the angle between the two vectors.

  3. Calculate the inner product

    Calculate the inner product using the equation above and the information from steps 1 and 2.


What is an inner product?

An inner product, also known as a dot product, is a mathematical scalar value representing the multiplication of two vectors.