^{2}defined by the inner product below?

f(

**u**,

**v**) = 7u

_{1}v

_{1}+ 4u

_{2}v

_{2}

I thought about finding the integral for the square of the expression but am otherwise drawing a blank.

What is the expression for the norm on R^{2} defined by the inner product below?

f(**u**, **v**) = 7u_{1}v_{1} + 4u_{2}v_{2}

I thought about finding the integral for the square of the expression but am otherwise drawing a blank.

f(

I thought about finding the integral for the square of the expression but am otherwise drawing a blank.

- maggiemagnet
**Posts:**357**Joined:**Mon Dec 08, 2008 12:32 am-
**Contact:**

jmccarty wrote:What is the expression for the norm on R^{2}defined by the inner product below?

f(u,v) = 7u_{1}v_{1}+ 4u_{2}v_{2}

I thought about finding the integral for the square of the expression but am otherwise drawing a blank.

What definition did they give you for the norm? I'm not familiar with a definition that uses integrals. I'm used to stuff more like this. Thanks!

The notes I have say to use the Euclidean norm if the problem merely says to find the norm.

- maggiemagnet
**Posts:**357**Joined:**Mon Dec 08, 2008 12:32 am-
**Contact:**

Okay. How does your book's definition of "norm" differ from what was at the link I gave (or this other link)? Thanks!