Cross Product of Two Vectors Explained! 

im happy to know that people study math for the actual sake of learning, not just for grades. and i think college students suffer only because they dont know that the burn is gonna make them better!

@@prakharanand5760 ok

@@beachwave5705 Ok

@@prakharanand5760 Ok

@@scrappydoo69 bruh what r u doing here

why don;t you pay attention in class lol

Me too

don't have that problem since I study in Finland but I feel you since I've studied for like 4 years in American curriculum schools and they fucken suck ass

Yihua Pu *Ureaka moment*

So true

Wish me luck for finals! Same here

But still, there's physics lol

@@ashmi-ratatata3944 ikr physics are killing us in this semester

sh*t im studying the math major just because i want to have a great logical and math skill for CS but damn is so freaking hard. "Proof that...." F*CK U

@@Abstractor21 hang in there bud

how do you know he doesn't wear a cape hmm

@@adrycough 😂

@@adrycough 😂😂😂

Bruhhh😂😂

You also first year?

@@RSA_Shock 😂I'm also a first year engineering student

@@teenforce-dance5255 We got this bro

@@RSA_Shock 🤟🤟

@@teenforce-dance5255 will follow up at end of Semester 🤛 Stellenbosch university ftw

I’m starting my undergrad electrical engineering journey. Was it worth it? Are you making some bread 💰?

@@kalebgarcia2733 Honestly, I would probably have gone CS or CE cause that's what a lot of us ended up doing anyways. Def worth the degree in terms of money, but there are other majors that make about the same if not more, with much better college experiences. I would say if you're just in it for the money (which is totally fine) then go finance/investment banking. You'll have a much happier college and probably life than forcing yourself to do this shit everyday. But if you actually like tedious problem solving and you like the challenge of tech (which isn't as glamorous as it seems haha) then yeah CS and EE/CE are worth it and you'll make solid money! Also Engineering management is a pretty good option too! Just make sure your GPA doesn't dip below 3-3.2 cause it's a lot harder to get a job right out of school! Not the end of the world cause eventually it doesn't matter but it can set you back for the first few years and makes getting a job less exciting from what I've seen:/ Good luck!!!

@@raymondkyruana118 thank you for run down and advice. I’ll stick with electrical 🙏

What would be the best way to land a job after getting a bachelors? That's what I'm wondering right now as I have 2 more years until I get mine.

@@bootybanditzz First of all, just treat it like a numbers game. Just keep applying and don't take anything personally (still listen to feedback but don't get discouraged) as most of the time the whole hiring process was rigged from the beginning. A lot of the time, they already have a person to fill the role from an internship or connection but they just have to post the job for legal reasons. So that brings me to the 2 biggest points. Networking/connections and Experience in the form of Internships/Co-ops for sure!!! Use the fact that you're young to just start talking to anyone and everyone and eventually you'll meet someone who is in works as an engineer or at least knows someone at a big company. Heck for me, it happened while on a plane. The person next to me was reviewing for a presentation at a biomedical engineering conference and she was pretty high up in the company. Wasn't even sitting in a nice seat or anything just basic economy. We talked for the whole plane ride and boom that was my in. Then in terms of the experience, even if it's not the most fun sounding just try your hardest to get one. Or even a shorter program like over the winter to get certified in something. But yeah as ridiculous as it seems, employers kind of expect an entry level candidate to already have AT LEAST 1 year worth of experience! It's absurd cause like how the fuck are you supposed to get experience if nobody hires you for lack of experience but it's just the way it is. Also start early and just keep applying!!! Like I said in the beginning, it's a numbers game, it's bound to happen at some point. What's a few months or even a year in the grand scheme of things! I have former classmates that thought they would never get a job because they didn't get one early like the rest of us. Some didn't get one until literally 10 months after graduating but they finally did. Literally a few months after they got hired everything was smooth sailing and life was good. So yeah don't stress too much but definitely try to do these things. Good luck!!!

how you find J is negative and K is positive in first min

@@hshshhs-ue7ef Because it's written as - J if we -5 (1--1) = -5 *+2 =-10 Hope it clears your doubt!

i is really i(11) which is row 1 column 1. the formula to find the sign is (-1)^(row # + column #) so i is (-1)^2 which is positive 1. For j, j(12) because it is in row 1 column 2. Apply the same formula (-1)^(1+2). (-1)^3 is -1, so you subtract. row k; K(1 3) row 1 column 3. apply the formula (-1)^(1+3). (-1)^4 =1. therefore you add. Most people just remember it goes i - j + k.

@@thatgoose2639 Thanks! That makes sense

i was gonna ask the same. great explanation, Spider Rick

Thanks!!!

@@thatgoose2639 thanks hombre

Just something to memorize. The proof behind it is not really necessary to know. (Usually. Your case might be different)

@@amoghgaruda ok thank you!

It has to do with linear algebra and evaluating determinants larger than 2x2.

@@johnnyboy6338 thank you!

If you want to have a positive in front of the J you could do the cross product with K in the left and I in the right side. Adding the negative just makes it easier to visualize without rewriting the I after K.

Esi Portia wtf

@@TheXxRohanxx lmfao this dude is wild

I'm in the same field Lmao

I think it's a girl, Esi sounds like a girl's name

Dude....chill.....you're disturbing me.

Consider that is matrix 1st column is positive 2nd column is negative and 3rd column is positive

​@@DiliniMaduwanthi-xn1xi Why is the 2nd column negative I don't get it

Please refer a 3x3 matrix video

@@MoonKaiser In Maths 101 matrices you learn about Co-Factor Expansion and it basically States a general formula as: i(-1)^Row+Column +j(-1)^Row+Column + k(-1)^Row+Column Obviously with the respective 2x2 Matrix next to i,j,k But the row and column shows 1+1, 1+2, 1+3. now obviously when you raise -1 to a even power it results in a + and when raised to an Odd number it remains a -1 this now determines whether it is a + or a Minus

@@chibles1756 thanks bro I fw u hard 🫂🫂

true, just looking in the comments for exactly that

​@@leozelenika8354for three dimensions, it's just + - +

are you npc ?

@@burkicio u got serious problem dang.

By Matrice rule, it is done that way..

how you find J is negative and K is positive in first min

@@hshshhs-ue7ef organic chem tutor has a video on that too

@@hshshhs-ue7ef "how to multiply matrices"

loaf 🍞

Yeah

haha same, i dont even pay attention in class cuz i just watch his videos

there are some rules behind it..according to which the elements of matrix a11 a12 a13 a21 a22 a23 a31 a32 a33 so when we find the determinant of them the elements which has the sum of aij as odd will get negative sign and those which have even sum for aij will get positive sign during determinants.

do you mean j is always negative? I'm still confused on this.

@@sbp___9865 yeah j, sorry

@@paurush5991 ahhhhh thanks man

It minus j cause we follow the rule for co-factors in determinant value. Formula is (-1)^ i+j where i and j are row and column no. Respectively. Or as a shortcut you can say if the addition of i+j is even we put + and if its odd we use minus !!

@@azwadbinarif783 thanksssss

who tf says he's not

Vectors are basically mentioned in pre calculus and calculus 3-4. So he is basically telling advanced linear algebra.

@@Ultimate2T22 my algebra 2 teacher never taught me this and im in highschool currently and im going to take AP calculus in 2 months but Im currently taking Pre-Calc and they mentioned vectors and cross product method so im watching this video.

Muhammad Hashim Bin Quraish the original equation has a negative sign on the j (i-j+k ). Look at the sign in front of the letter in the equation

there's actually a sign convention that you should follow, when you're looking for the determinant of a 3x3 matrix

As @That Goose comented earlier:- i is really i(11) which is row 1 column 1. the formula to find the sign is (-1)^(row # + column #) so i is (-1)^2 which is positive 1. For j, j(12) because it is in row 1 column 2. Apply the same formula (-1)^(1+2). (-1)^3 is -1, so you subtract. row k; K(1 3) row 1 column 3. apply the formula (-1)^(1+3). (-1)^4 =1. therefore you add. Most people just remember it goes i - j + k.

(-)(-)(-)=negative

It is just a deduction but I want u 2 confirm it and tell me if I am right or not..... u r an Egyptian , your age = [16,18] , u r from STEM schools in either 11th or 12th grade this all could be wrong but this is just a deduction when it comes to ur question , u have to study matrices (matrix) before studying cross product so that u can understand well how is it like that

I have the EXACT SAME QUESTION!!!

I am also confused about why we are subtracting the j

This is just part of the given vector. i2-j6+k4 or 2i-6j+4k is the same as , just written in different notation.

Jake Hills for 10:20 ?

It's just how the equation is (i-j+k)

@@orionwhitford1292 thank you

No body knows sadly

👾

Yes.