Dot Product & Angle Between Vectors

I explain how to find the Dot Product and the properties of the dot product. I continue by explaining how to calculate the angle between to vectors, including the special cases of Parallel Vectors and Orthogonal Vectors.

Here are all of my Vector lessons,

[Qbabxtra]

Dont EVER stop uploading these, you have no idea how lifesaving they are!

[jmitsc]

I just wanted to say thanks for your great videos. Math can be a tough subject, and the way you go over subjects really is different than most math teachers. You explain the formulae and HOW they are derived. As a student, there is a huge difference between memorizing a formula, and understanding a formula. It makes the difference between a "C" and an "A". You are that difference. Thank you for taking the time to make videos like these to teach others.

[flawns]

after 4 hours of math lecture. I come to you for a nice refresher....thank you for your work, I will always stay subed and I always refer students to check you out. Don't stop what you're doing!

[profrobbob]

Happy to hear that my videos are helping you. Good luck with your class and thanks for subscribing!

[profrobbob]

With the help of my viewers subscribing and liking my channel, it will continue to groW to it's fullest potential soon:) Thanks for watching and glad they are helping you so much:)
So LIKE, SUBSCRIBE and SPREAD THE WORD!...BAM!!!

[profrobbob]

And THANK YOU for watching, learning and liking:)

[romadelara]

Your writing is awesome. I wish you were my teacher. You explain everything so precisely and in detail, so that I understand everything. Great video, keep your work, we are going to support you and your great Chanel, how you support us in math.

[georgesadler]

Professor RobBob, thank you for a wonderful video/lecture on the Dot Product and Angle Between Vectors. This classical topic appears in Calculus III, Physics and Engineering Science. Students should quickly realize that this material is easy to understand.

[justanghozzst]

This video and your other 40 min video on vectors are invaluable. After classes I always do 1-2 pages of concept notes from YouTube and by using these videos I made some very classy notes in pen. I'll be looking at them for the whole summer.
You were able to condense the material into it's smallest and most simple form. Even bringing it back to Trig with the cosine law.. Thanks a lot!!

[profrobbob]

Sorry to hear about the negative impact you experienced from the bad economy. I have a lot of friends struggling too. A couple of people I know who are engineers remind me of how much math I have forgotten after teaching high school for 18 years, and how much I never learned or understood from not taking classes that applied more of the math I did learn.

[lilliflower]

May the Mathematics God bless you everyday!!!! Thanks. 

[profrobbob]

That's AWESOME! Thank you for the help:)...I really do appreciate any and all support from my dedicated supporters and viewers like yourself, so keep it up and maybe I'll make it to the big time #'s someday:D

[jooorence]

Hello Prof Rob,

I just wanted to say that I sincerely appreciate your videos and I truly respect your ability to consistently put out videos and help hundreds (probably thousands) of students/learners monthly. I am taking a precalc II course at my local community college currently this summer and we are learning this material quickly and in a condensed-plethora-of-notes manner(you probably know how it is). Watching your videos has helped me gain better understanding of some of the toughest concepts that I have encountered. It, more or so, feels that you have been my professor these past few weeks and so I wanted to take the time to say thank you for being an awesome professor to me this quarter haha!

Keep inspiring,

JR Pagdanganan

[profrobbob]

That is true in a way. Technology changes, curriculum experts can change what topics should be taught in what classes, vocabulary can change a bit, and so on....at least the Pythagorean Theorem will always be Pythagorean Theorem as an example. I am glad I don't teach science at least! New discoveries are being made all the time, which is great but changes the curriculum even more:O

[profrobbob]

I am very excited to hear that my videos have been so successful in peaking your interest in math! I have over 400 videos on my channel to choose from so I hope that means we will be having many more message exchanges in the future:)

[profrobbob]

I use Blitzer Pre Calculus book in my classroom. It is a very good book:)

[flawns]

Doing this in my clac3 course! I love it. thank you for my journey from Trig, Clac1, and Calc2.

[profrobbob]

I only introduce vectors and work with them for a couple of sections in my Precalculus book...and some of the questions are done in degrees. I am sure classes like physics and more advanced math classes go much more indepth with vectors. I also work with trig equations that only work with angles measured in radians. So, I would say that you should work with your vector problems like your professor instructs and know the conditions required for use of the forumulas you are working with,

[profrobbob]

Thanks for commenting. That's a great positive outlook to have...if we looked for one new thing to learn daily from someone or something, we would all be rich with knowledge.

[jhartflorida]

Another great video as always.  I'm taking calc III right now and needed some review of trig.  You explain this much more clearly than my professor who has a doctorate.  You should be a trainer for other math instructors.  Great job!