How Do You Calculate the Magnitude of a Constant Vector in Different Dimensions?

[tomfrank]

Homework Statement

Calculate ||1,1,1||in R3
Calculate ||1,1,1,1|| in R4.
Calculate ||1,1,...,1|| in Rn.

Homework Equations

All I have in this problem is that, Where do I start?

The Attempt at a Solution

 

[LCKurtz]

What does ||1,1,1|| mean? This isn't a leading question; I want to know what that symbol is supposed to represent.

 

[kaitamasaki]

I'm guessing || means the magnitude, or the scalar length of the vector.

[Moderator's note: solution deleted]

 

[LCKurtz]

I would guess that too, but I'm trying to get the poster to write it correctly for starters. You wouldn't normally write a vector as 1,1,1.

 

[tomfrank]

it means the magnitude, i believe.

 

[Mark44]

So how do you calculate the magnitude of a vector in R³, R⁴, Rⁿ?