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)..

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- Oct 17th 2009, 05:27 AMalexandrabel90finding 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).. - Oct 17th 2009, 07:22 AMjoe909
||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