The Vector Cross Product

Vector multiplication can be tricky, and in fact there are two kinds of vector products. We already learned the dot product, which is a scalar, but there is another way to multiply vectors to get another vector, and it's called the cross product. Let's learn how to do this now!

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[chenchoon]

Why can't my university prof just put up these videos and call it a day. That way I won't be binge-watching these videos the day before the test

[andreamalaver]

this man is single handedly saving my engineering career 😭

[brassglass]

Hey professor Dave! you are my hero and I would love to be as cool as you someday. It tickles me the way you combat flat eathers while also helping me learn the material my engineering professors can not. You have made my school life much better since i have stumbled upon your videos and i can not thank you enough. Please keep up what you are doing and know that you are a more than a professor you are a HERO!

[nhaz]

Hello. I have a qn on Vector Cross Product.
1) Is there a reason why we have to subtract first followed by adding the next vector?
2) Is there an order as to whether or not I should take -5 x 3 first, and then 7 x 4?
3) May I confirm that in each of the vector after solving its multiplication, I have to subtract it? For example, (-5x3) - (7x4)

[kironblackwood]

I've come across your videos just recently and am so happy I did; thank you SO MUCH for you crystal clear understanding of these concepts!!

[Serlith]

Came for the flat earth wreckage, stayed for my Master's degree.

[merry]

Mate, thank you so much for these videos, I wouldn't have been able to pass my midterms without you.

[masonengland]

Carrying me through calc by day. Crushing flat earther's by night

[danieljulian]

Cross product: (1) Only in 3D space (2) the value of a determinant is defined to be a scalar quantity, not a vector; the rubric for the cross product is only a mnemonic. Do not study only with this channel unless you wish to treat it simply as prep for exams that will include only very rudimentary "calculate this and give us a number" exercises. In other words, you're not learning linear algebra from Professor Dave in any depth. It's quick, thorough prep for next day's exam if you're only asked to calculate.

[junaidfazlani]

I had been struggling for several months with cross products.
I never thought your explanation could help me clear the topics smoothly!
Thank you so much professor dave

[kaomaphiri]

3 years later I'm watching this and it still explains it so easily. Keep it up 😊😊😊😊

[anpanmanhope]

You're a life saver Professor Dave !

[lingwaili]

Thank you, professor Dave! English is not my mother tongue but I understand Linear Algebra better than I am learning in my university

[cherinhalechantry]

Very clearly explained! Thank you Professor Dave!

[rajyalaxmik]

My Sir explained this topic many times but I couldn't relate, when prof. explained understood very clearly ...Thanks...

[Saisenpai]

Thank you so much sir your explainations are superb and works like a one shot before exams.... By the way, love from India ❤️

[sachindhakal]

i just want to learn vector cross product to find area of triangle but as i opened your channel i found ocean of knowledge .omg im shocked...thnak you so much prof deck from this learner from nepal

[sukritbera]

Thanks prof, I passed the physics paper with ur tutorials are awesome

[bernab]

Why a x b as a result is 19 j positive? I think is -19j

[goobygoober]

Hi is there anyone that can explain for the first example at 1:20 why it is i - j + k ? and not i+j+k or something like that? How do we know whether it is addition/ subtracting i/j/k ?
for some reason i always had trouble with vector math, so please forgive me if the answer is obvious