The latest articles on DEV Community by Leandros Georgiou (@ljgeorgiou). https://dev.to/ljgeorgiou https://media2.dev.to/dynamic/image/width=90,height=90,fit=cover,gravity=auto,format=auto/https:%2F%2Fdev-to-uploads.s3.us-east-2.amazonaws.com%2Fuploads%2Fuser%2Fprofile_image%2F4123298%2F93cf61f4-13dc-4e9e-8430-1bc5965f5fd7.png https://dev.to/ljgeorgiou en Leandros Georgiou Sun, 13 Sep 2026 15:29:57 +0000 https://dev.to/ljgeorgiou/linear-algebra-explained-simply-how-to-calculate-the-dot-product-4ohb https://dev.to/ljgeorgiou/linear-algebra-explained-simply-how-to-calculate-the-dot-product-4ohb <p>The dot product works by taking two vectors of the same dimension and returning a single value. </p> <p>For example,<br> Let's say we want to find the dot product of vectors [1, 2, 3] and [4, 5, 6]:</p> <p>Step 1 - Multiply the numbers in matching positions:</p> <p>1 * 4 = 4<br> 2 * 5 = 10<br> 3 * 6 = 18</p> <p>Step 2 - Add up the results</p> <p>4 + 10 + 18 = 32</p> <p>Therefore [1, 2, 3]⸳[4, 5, 6] = 32</p> <p>Let's look at another example. Let's say we wanted to find the dot product of vectors [8, 7] and [5, 2]:</p> <p>Step 1 - Multiply the numbers in matching positions:</p> <p>8 * 5 = 40<br> 7 * 2 = 14</p> <p>Step 2 - Add up the results</p> <p>40 + 14 = 54</p> <p>Therefore [8, 7]⸳[5, 2] = 54</p> beginners learning tutorial