Dot Product of Vectors
Common Core (Vector and Matrix Quantities)
Common Core for Mathematics
Examples, solutions, videos, and lessons for PreCalculus students learning how to find the dot product of vectors.
The Dot Product of Vectors
An operation used frequently on vectors is the vector dot product, sometimes known as the scalar product. The vector dot product is an operation on vectors that takes two vectors and produces a scalar, or a number. The vector dot product can be used to find the angle between two vectors, and to determine perpendicularity. It is also used in other applications of vectors such as with the equations of planes.
How to compute the dot product of two vectors
Vectors - The Dot Product
This video shows how to compute the dot product of two vectors, along with some useful theorems and results involving dot products. 3 complete examples are shown.
An Introduction to the Dot Product
What the dot product means and how it relates to the Law of Cosines. We prove the formula for dot product using the Law of Cosines.
Introduction to the vector dot product
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.