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Math Help - finding norm

  1. #1
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    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)..
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  2. #2
    Junior Member
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    Quote Originally Posted by alexandrabel90 View Post
    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
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