Sum of Products Calculator

What Is the Sum of Products?

The sum of products multiplies corresponding elements from two equal-length lists and adds all products. Given lists $a = [a_1, \ldots, a_n]$ and $b = [b_1, \ldots, b_n]$:

$$\text{sum of products} = \sum_{i=1}^{n} (a_i \times b_i)$$

How to Calculate

1. Enter both datasets with the same number of values.
2. Multiply each pair: $a_1 \times b_1$, $a_2 \times b_2$, and so on.
3. Add all products to get the final result.

Example

For $a = [3, 7, 2, 9]$ and $b = [4, 1, 6, 5]$:

$$3 \times 4 + 7 \times 1 + 2 \times 6 + 9 \times 5 = 12 + 7 + 12 + 45 = 76$$

Related: Dot Product Calculator and Number Sequence Calculator.