- #1

hnnhcmmngs

- 19

- 0

## Homework Statement

Calculate |u+v+w|, knowing that u, v, and w are vectors in space such that

|u|=√2, |v|=√3, u is perpendicular to v, w=u×v.

## Homework Equations

|w|=|u×v|=|u|*|v|*sinΘ

## The Attempt at a Solution

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Θ=90°

|w|=(√2)*(√3)*sin(90°)=√(6)

Then I tried to use

u={√2,0,0}

v={0,√3,0}

w={0,0,√6}

and I got that |u+v+w|=√(2+3+6)=√11

but I'm trying to find a way to do this problem where I don't assume that those are the vectors.