Needed to review this real quick for physics. When you can watch something in x2 speed and still comprehend everything, that's when u know a video's clarity is top notch.

my advice would be the same pipe dream most of us get: do what you love. that is where you will do your best work and be the most happy. it is hard for most people to be honest with themselves, myself included. i feel like i got lucky cause the videos caught on. then again, i only did this cause i love teaching. so maybe it worked out just like it should.

I am reviewing math and instead of going to read from book, I favored to watch your videos. God Bless you man for the effort you putting in this channel.

Thanks for making easy-to-understand videos. I'm not very good at understanding the mathy definitions in my calculus book, and your videos help me understand what to do and why it works.

I just want to thank you cuz last semester I got an A in Calc II and I just used to come here and do the problems and study, you just do an awesome job explaining, this semester I'm taking linear algebra, hope you upload more videos about linear algebra! Thank you man!

this is why I love patrick, 30 minutes of trying to understand through wikis and math websites, he covers in the first few seconds

@shortie989 glad u liked it!

Patrick, bless your soul. This is the third year of Calculus that I've gotten through thanks to your videos. You're changing the world, man.

@helibbc tuition is free! just sit through an ad now and again : )

Everyone's like "Dang, every time Patrick checks his numbers at the end of the video, they end up perfect". But what we don't see is all the times he made a small mistake, which snowballed into a catastrophe that results in a deleted video and a dark night of deep reflection. hahaha

Hey Patrick, Im currently a mechanical engineering student and every time i need help i just get on youtube watch your videos and that helps me in class greatly. After i get done with school and settle with my job i will dedicate my first paycheck to you! You have helped me in math courses so much that i go to class with confidence and well prepared. THANKS SOOOO MUCH!!!!!!!!!

Lecture today was crazy. I understood absolutely nothing. 1 hour of frowning and stress. 10 minutes with your video, and I understand cross products. Thank you. :)

I love how you're devoted to all this math, it's really helpful, thank you a lot

You are such a great help! I survived Calc 1, Calc 2, and now physics because of you! Awesome!

@ammatzner ha, no problem : )

Thank you! Easy to understand, and I also appreciate the super helpful tip about checking to see whether vectors a and b are orthogonal to vector c (the cross product) after finding the answer.

Hey Patrick, Huge fan here. My school has seriously implemented your teachings in our Lecture Notes for my online classes here at Rasmussen College. Currently attending a dual bachelor for Gam & Sim/Develpoment Programming. I simply wanted to say that you seriously make it easy for myself to comprehend Calculus and Advanced Calculus. Keep up the good work!! If you were near me in Orlando, Fl., I'd by your ass a drink!!!

i got into grad school by busting my butt and working hard as an undergrad. this was hard since i worked a job in a restaurant anywhere between 30-40 hours a week while taking anywhere between 15-18 credit hours of classes. i studied ' not that much ' for my first two years, but once i got into the upper division classes i would say i was studying at least 20 hours per week in addition to my class time.

thank you so much.I've been watching your videos since my freshman year,I'm in my second year now and you've been great help.😃👍

Finding this made Calc 3 and Physics so much easier! Thank you so much for your neat handwriting, magic whiteboard, clear voice and awesome teaching skills. Thanks @patrickJMT !!

@sloppyjoes7 glad you like my vids although there are plenty with mistakes so i have them too. there are about a million videos i want to make, diff eq is part of them, however my day job prevents me from just sitting around and making them.

Thanks Patrick, I've left these stuff 14 yr ago... gotta learnt them up recently by chance Your videos help!!!

@abaddon1112 yes, there is plenty of room on the internet for all!

By far the best conceptual explanation of the cross product I have found. Thanks man I really appreciate it!

Great video! Love all of them, thanks Patrick.

We had a snow day today and everyone got to go home early, but I missed the notes over Cross Product for my Pre-Cal assignment. Thank you SOOOO much. You literally just taught math 200 times better than my teacher! Thank you and God bless! :)

This is my favorite channel during mid and final EXAMS !!

Your videos are extremely helpful! Thanks for uploading.

Great video with clear explanation! Thanks, Patrick.

Thanks for the video. A short, sweet, and to the point refresher.

I'm using these videos to supplement my summer self-study for Calc 3. They're very useful! Right now the stuff is easy, but come triple integrals, it's good to know Patrick has my back...and some worked out solutions.

i've told soooo many people about your videos, they're really great. thanks for all your help =3

Finally a good explanation of this! My calculus textbook did a poor job of explaining this. Really helps for calculating torque with radios and force in component form as torque = r *x* F

I was absent from school for a whole week because I got very sick and this lesson was taught in my absence, thanks for this video I know now how to solve what he explained

Very concise, organized, and helpful. Thanks for the refresher

Your lessons are awesome Pat! do you have any videos about augmented matrices?

You're the freakin man! This video saved me from taking a long walk off a short cliff. Studying for the FE and haven't looked at this in 6 years or so. You brought back in 8 min. what would have taken me hours to figure out reading a text book.

@smhouse07 there are some calculus apps on itunes

patrick youre the man. everytime i see one of your videos i understand perfectly. keep doing videos!

patrick ive been watching your videos since i was in calculus 1 now im in calculus 3 and im still watching ur videos U R MY HERO!!

now that we are like brother and sister: my major was math, MA in math as well. did a year of phd work in math before i decided it was not for me (long story). no work in economics although i did do quite a bit or probability theory since my school had an actuarial program so they offered lots of probability classes. plus i liked it. my friend is an actuary (one of the smartest guys i know) and he hates it for the most part.

THANK YOU SO MUCH! I knew what a cross product is and all applications but I could never remember the formula. This 3x3 partial determinant trick is SO useful!

This has been great! I struggled through my graphics programming class, and managed to wind up in the top 15% but still didn't really understand this maths. It's now finals time, and with just a few short movies I completely get it. Thanks mate!

ha, glad you like them : )

Patrick, only my KZfaq comment won't explain how appreciative I am, you make maths simple, I have been learning from your tutorials and next week (18th April 2012) I am having a math test and m gonna tackle it head-on. Thank you very much Patrick, you explain way better than my lecturer! You are the best, thumbs up man!

Thank you - great explanation, very clear.

This is great for sure! Keep posting more

Thank you very much for putting this into something I can understand. It was very helpful that you explained visually what the cross product was, I never was taught that. Keep it up :)

Thank you soooo much! I can't tell you how much easier this is with your explanations. This stuff use to look like hieroglyphs, not anymore, that's for sure. Thanks again

Thank you. This video helped me out alot!

I am watching this as a quick review for a class, but thanks you're videos got me through calc 1-3 and ODE. You are the reason I am gonna graduate with my engineering degree, thanks!

Thank you so much. So much more straight forward than my distance learning books. Also, thank you for your dot product video as well.

extremely like your lesson, thanks Patrick

@bodinian what would that mean?

Cheers for the great tutorials

Very to the point! It helped. Thanks for this video.

my pleasure :)

Thanks for making this video. :) It helped me remember and review what I wanted to!

I first saw this stuff in Trigonometry and now I'm seeing it again in Calculus based physics. Thanks for the refresher!

@olgakayy i forgive you if you can not understand.

Thanks for uploading this video! Helped a lot!

Sooooo helpful!! Thank you!

I have a feeling you're going to be helping me a lot with my further maths A-Level. Cheers for a great tutorial

Thanks for the help!

@brad5191 glad i could help you : )

Awesomeness!!! Thanks! You have just saved my life in my Applied Mechanics Statics Class!!!!

Thank you very much sir, you have been very helpful!

Thank you so much for your videos!! They are really helpful. I used them for studying for AP Calculus BC and IB Math HL! Please let your videos stay free, because I know I'll need them for college! :)

You are just FANTASTIC! Thanks so much Patrick :D

very well explanation sir, thanks a ton.

This has really helped, thanks for the video!

Thanks for this! Very easy to understand compared to the other information I have ran across, considering I remember very little of mathematical notations.

I had no idea what my asian professor was saying, and you just did what took him an hour and a half. God bless you

This is so helpful; thank you!

You are a good physicist, i have been able to learn a lot from this video. Thank you

yep, that is it!

Thank you so much . Nice Explanation

Thanks a ton !! And thanks for the dot product too. It helped me remember matrix multiplication.

Thank you Patrick you're a best teacher

Very helpful video Patrick, thanks :D

Thanks a lot about this video, I mean it helped me to recall my first year math because now in Electrodynamics I need this.

partrickjmt, u r d best online tutor for calculus and basic maths. yours videos help me a lot with my exams. and class work. i think you should do some more basic maths videos thou. any how u r d boom in maths, u really no you thing.

Best Teacher!!! RESPECT!!!

Thank you!!! My physics professor just showed us the right hand rule, and I couldn't figure this out by that!!

thanks helped a lot had missed dis at colll was worried but your video saved da day!

excellent tutorial, thanks for uploading.

Thank you soooo much.!!! It really helped me a lot...!

Fantastic, I've always been curious about the cross product.

God, i have a midterm exam tomorrow. And the first lesson was this, so if i don't understand it i won't understand the whole thing. Except that you've helped me through this crisis, i love u!

THANK YOU SO MUCH PATRICK!!!!!

Wow thank you so much Patrick, this helped me a lot in my physics class

Thank you so much.It is really useful for me

your handwriting is very pleasant to look at and thanks, this was very helpful

thank you so much! It really helps me!

You just saved my game-developing bacon!! Everybody else seems so hooked on the Cosine-using formula (...right?) for cross products, so this was a godsend! One huuuge leap closer to super-efficient collision detection :-D

You are such a super teacher!

Who would have thought it'll just take me 8mins to understand cross product. Thanks alot Patrick!

Thanks dude for the lesson

glad you like them

good luck in the class! work hard :)