# Dot Product Calculator

This dot product calculator may be used to find the dot product of any two vectors. Simply enter the vectors into the appropriate fields, and the dot product will be generated for you.

The dot product is the result of multiplying the individual numbers in two vectors. If a = (y1, y2, y3) and b = (z1, z2, z3) then the dot product of two vectors ‘a.b‘ is given by,

a.b = y1z1 + y2z2 + y3z3

To determine the dot product of a and b, multiply and add the respective components.

## Calculator Use

• This calculator is simple and quick to use.
• Simply type the first vector’s value into the first box.
• The next step is to fill in the second box with the value of the second vector.
• It’s worth noting that the vector’s values should be entered in the following format: (1,2,3)
• The dot product of two vectors will be displayed on the calculator throughout the rest of the procedure.

## Formula to Calculate Dot Product

The formula to calculate the dot product is mentioned below.

The following example explains the concept of finding the dot product of two vectors.

1. Find a ⋅ b when a = (2, 9, 6, 4) and b = (9, 4, 3, 5)

Solution :

a ⋅ b = (a1 * b1) + (a2 * b2) + (a3 * b3) + (a4 * b4)
a ⋅ b = (2 * 9) + (9 * 4) + (6 * 3) + (4 * 5)
a ⋅ b = 18 + 36 + 18 + 20
a ⋅ b = 92

Hence the dot product of the two vectors is 92.