An Introduction to the Dot Product

[spartancountry]

40 minutes of class with my professor, nothing.  4 minutes here and I get it so much better now!  Thanks!

[agnostic]

The best math tutor ever.. I have been watching your videos and making A's in every math class I take and that is because of your great help.
Thank you for your support

[professorAP]

Was not able to understand the complex calculation at first but after watching this video everything thing became crystal clear at once. God bestow you with happiness.

[dianabarragan]

you seriously save me all the time, thanks a lot man

[daiwikdhar]

Thanks a lot for the video!!! You helped me a lot!! Hope ur safe during these troubled times... You're the best... :D

[KiwiPowerNZ]

Thanks man. I got the cross product but the dot product I was lost in you rescued me!
Greetings from New Zealand

[AnthonyLevine]

As always, thank you! My textbook calls this the "Cauchy–Schwarz inequality."

[yurikvalderrama]

you make it look easy every time! thanks for the help.

[GreatWhtieNorth]

Hey any ideas on how to figure out that last part if a professor does not allow any use of a calculator in his class?

[ichkaodko]

i don't understand arccos part. Why do you convert cos to arccos when you try to find the degree of angle?

[iwantdog]

May the powers of the universe bestow favor upon you Mr. Patrick :)

[hedonism]

Are you a math prodigy or did you have a calculator on hand? I was kind of leaning towards genius until I saw you figure out 7/19.08, and then take the inverse cosine of that.

[codosacho]

when i say vector a is (6, -2, -3) what does it mean ?

[wdfomfg]

i'm pretty sure he has already done all these problems before he records and then rewrites it for the recording. He's still a genius though :p

[majesticbarrack]

idk who was 6 idiots dislike it its realy good tutorial

[patrickjmt]

i almost never work out the problems beforehand, i probably did have a calculator off screen though!