# Dot Product of Two Vectors

This physics and precalculus video tutorial explains how to find the dot product of two vectors and how to find the angle between vectors. The full version of this video explains how to determine if two vectors are orthogonal / perpendicular, parallel, or neither using the dot product formula and by analyzing the slope. It also explains how to find the scalar projection and the vector projection of v onto w.

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### 36 thoughts on “Dot Product of Two Vectors”

1. Doing the dot product on a problem, you get a singular number. What is that number supposed to represent?

2. You're always dropping great content!
I'm currently not looking at the dot product or vector calculations in my role (Project Mgmt, Statistics), but this was a great 35 min refresher. Thank You!!

3. Thank you๐๐น

4. Yo doc, can you make some videos explain control systems. Thanks

5. Sir can you please make a video in this problem f(x)= (x+ 1/x)^2 find its derivative. Im really confused thank you

6. I think this channel is close to documenting all human knowledge

7. Hi, can you upload the gas law like Ideal gas law, Boyle's law, Charles law.. I'm really confused about the graph. I don't know what gas law when I see the graph. So, please upload about the graph , thanks so much

8. Can you help to do a project econometrics? Please
Very interesting

9. If I ever manage to get a PHD I'm giving you half of it

10. I don't know what I would do without you. Thank you so much.

11. Excellent,,it came in good time

12. Good day, I need help with a trigonometric function
Asin(x)+Bcos(x)=C where A,B and C are known. What's angle x?

13. Oh man it was very useful

14. THANK GOODNESS I found your channel, the way my professor explained this made no sense.

15. You make studies so easy for us… God bless you for us๐

16. Perfect โ๏ธ

17. Super sir love from india and I'm new subscriber I will definitely share this channel to my friend's and family members thank you sir

18. this channel has really helped me in vector algebra, i missed two lectures but this channel has given me a comprehensive understanding. thank you very much.

19. This guy is the best!!!!!!! Thank you so much Tutor

20. You're my hero, I can't express how much yo channel helped me ๐ฉ๐ฉ

21. I don't get it when he say ignore the negative sign of tangent…. Because during the problem we have done so far, negative sign of these are crucial for solving an angle….could anyone explain it to me??

22. Really good video ๐ Thank you ๐ธ

23. marvelous class! thank you sir!!

24. Iโm from USA and your videos are really helping ths side

25. You explain so much better than my professor, I love you !

26. Why did you delete your 2 hr video about vector physics?

27. When im working on my dream job, that is because you taught me so much and walked me through the graduating list. I'll freaking fund your channel.

28. Thank you so much, sir!

29. I love the video but I have a question. In the last problem we where asked to solve at the end of the video, both -5 and -4 where represented as 5 and 4 in the |a||b| calculation. so what happen to the subtract sign. how did it disappear in your calculation, because u calculated it as 3^2+4^2+5^2 and 6^2+4^2+7^2 instead of 3^2 + 4^2 + (-5)^2 and 6^2 + (-4)^2 + 17 respectively. Please do tell.

30. MR. Organic Chemistry Tutor, thank for a well explained introduction to the dot products of two vectors. This lecture is really helpful in Statics and Engineering Physics.