The dot product is a means for taking two vectors, which have magnitude and direction, and multiplying them to get a number, or a scalar. The topic is typically taught in College Level Calculus classes, in topics such as Vector Calculus and Multivariate Calculus.

To multiply two vectors, you’ll need to actually break them down to their x, y, and z components first so that you can multiply their respective components and get your solution.

In the example that Chegg Vector Calculus tutor, Scotty G., gives us, we see that two vectors, v and u, have 3-dimensional components namely x, y, and z. When their components are multiplied and the x, y, and z multiples are summed, you get your scalar solution.

Vector Calculus tutoring on Chegg Tutors

Learn topics in Calculus including vectors, scalars, and dot products on Chegg Tutors. Work with live, online Calculus tutors like Scotty G. who can help you at any moment, whether at 2pm or 2am.

Liked the video tutorial? Schedule lessons on-demand or schedule weekly tutoring in advance with tutors like Scotty G.

Find an Algebra tutor at https://www.chegg.com/tutors/Calculus-online-tutoring/?utm_source=youtube&utm_medium=video&utm_content=managed&utm_campaign=videotutorials

About Scotty G., Calculus tutor on Chegg Tutors:

Washington and Lee University, Class of 2013

Mathematics major

About me: I have teaching experience on the high school and college levels. Through college, I taught as a university sponsored peer tutor, and after graduating I worked for six months as a substitute school teacher. In addition to these outlets, I’ve worked as, and currently work as, a self-promoted tutor in my community for math ranging from the high school level (Algebra, Trigonometry, Geometry, etc.) to the college level (Set Theory, Multivariable Calculus, Abstract Algebra, Real Analysis, etc.). Apart from mathematics, I’ve also tutored in Creative Writing and Music Theory/Composition.

Want to book a private lesson with Scotty G.?

Message Scotty at https://www.chegg.com/tutors/online-tutors/Scotty-G-455021/?utm_source=youtube&utm_medium=video&utm_content=managed&utm_campaign=videotutorials

Like what you see? Subscribe to Chegg’s Youtube Channel:

Visit Chegg.com for purchasing or renting textbooks, getting homework help, finding an online tutor, applying for scholarships and internships, discovering colleges, and more!

Want more from Chegg? Follow Chegg on social media:

http://instagram.com/chegg

http://facebook.com/chegg

http://twitter.com/chegg