Finding The Angle Between Two Vectors - Calculus 3

This calculus 3 video tutorial explains how to find the angle between two vectors in a 2D system and in a 3D system.

3D Distance Formula:

Equation of a 3D Sphere:

Calculus 3 - Intro to Vectors:

Calculus 3 - The Dot Product:

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Angle Between Two Vectors:

Parallel & Orthogonal Vectors:

Direction Cosines and Vectors:

Calculus 3 - Vector Projections:

Cross Product of 2 Vectors:

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Area - Vector Cross Product:

Triple Scalar Product:

Vector Equations of Lines:

The Equation of a Plane:

Planar Equation - 3 Points:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

Vectors - Free Formula Sheet:

[skinnyrick]

Keep up with the Cal 3 videos! Literally just in time for my class. Its insane how much helpful these videos are. We appreciate it

[nassormazruy]

Seriously these videos are helpfull .. THANKS ALOT .
From China 🇨🇳

[DarthAsthmatic]

You, my good sir, are why I have passed my calculus classes. Thank you!

[ThePrincess]

Thank you this video helped me solve a physics problem I was stuck on.

[zzzlaoaoa]

i skipped calculus classes and learn from you instead

[Fragmachineee]

Please keep these videos up! Currently in Cal 3 and i’m getting a review from you after learning in class :)

[xtomy_]

Needed this for my physics 1 midterm model today, had no idea this was a calc 3 concept (currently taking calc 2). Thanks!

[qphilo]

this was so easy to understand tysm mate

[netflex_]

You are way better than my maths instructor! Thank you so much!

[mejia]

For the first problem, can you do vector addition, then take the inverse tangent on the X, Y components and get the same answer?

[jonahstrunz]

Dude my textbook doesn’t even have any formulas in raw form. Only examples. Then this guy gives me the exact one I need within 30 seconds.

[motriz-industrial]

Sometimes this formula does not spit out the desired angle, but the vertically opposite angle. I wonder if there’s a way to know upfront which is the one I will obtain(Acute or obtuse)? Thanks

[sharpfive]

ur srsly amazing I need to learn this entire thing by tomorrow

[affsentertainment]

Permit me to say you are the best there Literally the best i have seen. All your videos are helpful and i appreciate big time.


😍

[OscarKanyimbo]

That's when I'm learning ✊🙏🙏

[bogdannazaryan]

Thank you!!:D
Would you ever teach engineering dynamics?

[dorondavid]

Good stuff! Explained clearly and easily

[justintognozzi]

3D part of this was extremely helpful.

[zakiskursnogalinaja]

Awesome video, easy to follow but still very informative :)

[thedecider]

Should update your name to the quarantine king because you're going to get me through Calc 3 this semester.