Unit vectors | Matrix transformations | Linear Algebra | Khan Academy

What unit vectors are and how to construct them

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Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

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[ayushdubey]

After elon's donation I trust you man. Doing a great job

[sarawinther]

Could you make a playlist with vector videos? You mention in every video that you covered this and that many videos ago, but I find it hard to find the other videos about vectors and the right viewing order. Other than that - thank you for your great videos! :) 

[SomeshRajvlogs]

Gotta say it.
You Saved Me🌹🌹🌹🌹🌹🔥🔥🔥❤️❤️❤️❤️

[OxydeThePower]

Thank you very much ! Your channel helped me for second time ;) !

[saivamshi]

Awesome
It helped me a lot thank you very much

[CloudVaris]

@zinizterz He was saying 1/ ||v|| multiplied with vector v will make that vector's length 1. Unless I'm confused about your question, in which case, send me a message or something and I'll try to clear it up.

[SheWasAlmost]

What is the purpose of unit vectors, like why do you need to know the length of the unit vector(not the magnitude) and how does it describe direction?

[youspinmerightrounds]

i've a video on unit vectors too, slightly different angle but every little helps!!

[MrDemonavenger]

Thanks. It was a great help with my homework. ^_^

[Jodie]

Hey what program are you using for these?

[Gobljnn]

It doesn't equal 1.. at the end ..

[omarthabit]

thnaks but ur teaching is so fast make it slower plz