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