1.3 Find the Angle Between Two Vectors (example)

www.rootmath.org | Linear Algebra
A brief example of using the dot product definition of the angle between two vectors to find that angle.

[@halakorin2022]

Can you do a video on unit vectors? I know what they are but I don't really understand them in the sort of larger scheme of things.

[@Sr79285]

Really quite helpful. Thank you!

[@jehobasoriano7355]

thank you so much for this video . direct explanation

[@neso252]

thank you for such a good explanation.

[@JaredYoutub]

Thank you soooo much for this!

[@shrekmeharder6983]

ur welcome

[@smeldrick]

these are great videos, thank you -

[@shrekmeharder6983]

ok

[@sundarthambidurai2495]

@rootmath I may be confused. Please clarify this doubt. As per videos in the Linear Algebra playlist, My understanding is that the 2 dimensional vector can be represented with 2 components and 3 dimensional represented with 3 components and n dimensional represented with n components. In Previous video, you have said that law of cosines applicable only to 2 dimensional vectors. But in this video you have taken sample vectors with 3 components which is 3 dimensional right. So Law of cosines will applicable to 3 or n dimensional also.

[@stopfidgetting]

In my homework, my teacher asks for me to describe TWO ways to find the angle between two 3d vectors. Do you know any other ways to do this besides this one?

[@TheAnthonywildman]

You have a new subscriber!

[@shrekmeharder6983]

no

[@TheAnthonywildman]

@@shrekmeharder6983 go back to plebbit

[@shrekmeharder6983]

@@TheAnthonywildmanwhat's changed in 7 years buddy, how are the kids?

[@propm]

ohhh..... my god, where can I get this game?

[@jkbanga971]

how to calculate if one side like v(2,3) and u(2,5,7)

[@ojassethi3722]

if v is (2,3) and the other vector has 3 dimensions, v is also equal to (2,3,0). Perform the dot product functions on this.

[@nati22]

thank you!

[@samuelgill6984]

shouldn't number of column in first matrix = number of rows in second matrix ? for matrix multiplication

[@rootmath]

This is the dot product of two vectors. If you want to think of it as matrix multiplication then think of it as a row vector times a column vector. (1xn) times (nx1) = (1x1). And (1x1) matrix is just a number.

[@samuelgill6984]

@@rootmath thanks

[@britneyfraser5852]

Why did you do the square root of 3?

[@shrekmeharder6983]

1 squared + 1 squared + 1 squared is 3 lol

[@GeekBoy03]

Does not work too well when you have to use the norm ||u'-v'||

[@abdullazeidan]

confused by the signs again:p thanks nigga!

[@chimps4congress]

he sounds like my cousin Derek

[@shrekmeharder6983]

ok boomer