1. ## finding norm

Given that W= ( 3,6,-4)

find ll(w/ llwll )ll

The answer given in my book is 1..but i got an answer of 1/ (61)^(1/2)..

2. Originally Posted by alexandrabel90
Given that W= ( 3,6,-4)

find ll(w/ llwll )ll

The answer given in my book is 1..but i got an answer of 1/ (61)^(1/2)..
||w|| = (3^2+6^2+(-4)^2)^(1/2)
||w|| = 61^1/2

w/||w|| = (3/(61^1/2),6/(61^1/2),-4/(61^1/2))

||(w/||w||)||= (3/(61^1/2))^2 + (6/(61^1/2))^2 + (-4/(61^1/2))^2
||(w/||w||)||= (9/61 + 36/61 + 16/61)
||(w/||w||)||= 1

Which makes sence because w/||w|| is the unit vector of w, and we know unit vectors to have magnitude of 1.
Hope this helped