Calculate the norm of vectors (1,0) and (0,1). We are on RR^2 where ⟨x,y⟩=2x_1 y_1+x_2 y_2. I know that I need to calculate the norm by norm(x)=sqrt((:x,x:)), but I'm having difficulty using that.

Raegan Bray

Raegan Bray

Answered question

2022-07-17

Calculate the norm of vectors (1,0) and (0,1). We are on R 2 where x , y = 2 x 1 y 1 + x 2 y 2 . I know that I need to calculate the norm by | | x | | = x , x , but I'm having difficulty using that.
Looking at the first one, some of my classmates are computing it as 2 1 1 + 0 0 , but I don't understand where that comes from.
Personally, I was thinking it would be 2 1 1 + 1 1 , but honestly I'm not super confident there.

Answer & Explanation

umshikepl

umshikepl

Beginner2022-07-18Added 11 answers

| | ( 1 , 0 ) | | = ( 1 , 0 ) , ( 1 , 0 ) = 2 1 1 + 0 0 = 2
| | ( 0 , 1 ) | | = ( 0 , 1 ) , ( 0 , 1 ) = 2 0 0 + 1 1 = 1 = 1

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