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so I basically compare 1 at a time to each other...?

I guess they do 2 at a time though.....

Also wouldn't a b and D be an orthogonal set since each individual is orthogonal?

@Outkast3r09 save me :)

@jim_thompson5910 save me ;)

you could plot the point on a graph

orthogonal points will be separated by a 90Â° angle at the origin

orthogonal sets do not have to have a norm = 1.
orthonormal sets do

yeah I failed haha.

definition 1 states that if each are orthogonal sets, then they will be orthogonal to each other.

Idk I forgot :P

BLEHEHEH

so does that mean the only orthagonal sets are a and b?

I did't think we needed to use basis on this one... :(

mhm

so a is gone too?

Well, how are we doing? Are we getting to the bottom of this one, too?

I thought we were comparing based on the definition.. Guess not :P

'a' is gone by inspections. (2,0) has length 2, not 1.

kk

Which of the sets in Exercise 1 are orthonormal with respect to the Euclidean inner product on R^2

which from the book def 1 says what i've been saying above.

maybe that means something else.... But liek you were saying above norm = 1.

hmm?

not sure what you mean...?

I think the last word in Definition 1 should be "orthonormal".

meh stupid book I hate thee....

This is what I was saying about normalizing.... It shows v2 and v2 = sqrt(2) but then normalizing it they got it = 1?

it says we should verify it tho.

by the way I get an inner product of 1 for c.

look at the picture i posted.....

it takes the norm of 3 vectors, and then normalizes the vectors which then sets them = 1?

a also = 1 if done this way....

?? Both pieces are negative. Can't be +1.

neg * neg + pos * pos...

Oh yeah :P good call.

so for the norm of a do we just do each individual section? sqrt(0^2 + 2^2) = 2

kk

norm =length?

so we take each individual vector than to see? So all vectors have to = 1 then?

I just wanna write it out all nice :).

This is what I wrote out... Should be good :). Thanks for the help!

I added that to my homework, that isn't in that pic :P

I'm not sure if that's a good example tho....

Someone posted water flow, health care cost, population, NFL wins... :(

Interest Rate / Investment Earnings Prognostication.