too good to be true lol

i disagree though, textbooks more than often provide more explanation to the topic's discussed, granted they are hard to read if you're just trying to revise or prepare for an exam

@@Moltenlava I fall asleep on textbooks. You only need textbooks for the practice questions, there are more than enough videos on YT to explain them.

I raise my hat to you good sir

Apart from the exercises.

Wow I am too :)

Man, I'm too. Pls some motivation.

Stunning! It's been a year, how did it go?

lmao me too just started this month

@@a.pal_yt2018 U don't

Maybe, these are just the methods scientists could develop for getting accurate answers since they cannot perform normal mathematical rules upon themthat are used for scalars. Idon't really know, just a student here.

@@fatimalearns9618 hey, forgot I posted this comment, but I think I got an answer. Seems kinda foofy, but here's my reason: So all these manipulations make perfect sense for displacement, cuz it is after all length, and the geometry works for lengths. So, if it makes sense for displacement, won't it work for say displacement in a period of time? Hence it's justifiable for velocity, and similarly acceleration. So I thought what if all vectors have displacement (and the basic involvement of length)? And I searched and searched and found that all vectors have length in some way or the other. Tldr: it works for displacement/distance (cuz geometry) and since all the vectors I know have length involved with some other scalars like mass, charge, etc. that proportionality still holds good. Hope that makes sense! (I recognize my arguments crumble if you find a vector which doesn't have length/, distance in it, so lemme know if you find any).

Thankyou so much for a good explanation. I did not know you would reply back.🥺 The vectors I know about, do have length as you said, in a way that they involves displacement and distance covered. ✨

@@fatimalearns9618 glad to help!

@@aadithyahrudhay2269 what are you studying 📚 now btw?

smh

calculus is over! i did a couple multivariable with the finding volumes of solids of revolution and what not.

gotham bold

As long as you pick a right-handed coordinate system, you are free to assign whichever variable you want to the three axes of space. Both the coordinate system you describe, and the coordinate system Dave is using, are right-handed coordinate systems. One where i cross j = k. One where you can place your right pointer finger on +x, right middle finger on +y, and right thumb on +k. That is, unless you are given a coordinate system in a problem, in which case you should solve within that coordinate system to be on the same page with the problem author. While in concept, you can use left-handed coordinate systems, this is generally not recommended. It is convention to use right-handed coordinate systems, and operations like the cross product only work the way we are taught, if you use a right-handed system. If you try a left-handed system, not only will you confuse yourself, but also the person reading your work.

that's the math shirt! once i start a new playlist i stick with a shirt until the bitter end

yep! You're describing "displacement", which is indeed a vector :)

so most students will be introduced to vectors in algebra, and especially in introductory physics, and then when you get to advanced math like linear algebra they are all over the place

check out my classical physics playlist!

Blue shift is an optical Doppler effect whereby an electromagnetic wave becomes higher in frequency due to the source of the wave approaching the observer. It's called a blue shift, because it shifts visible light to the blue portion of the spectrum, if it started out green at the center of the visible spectrum.