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  1. #1
    Registered User Veseliq's Avatar
    Join Date: Mar:2004
    Location:
    Posts: 2,289

    ,

    (, , )? - ...

    , , , - .

    :
    u = <1, -1, 0>
    v = <2, 1, -1>

    projvU projuV. :

    projvU = (u.v/(|v|))v
    projuV = (u.v/(|u|))u

    u.v = 2.1 + (-1).1 + 0 = 1
    |v| = 6
    |u| = 2

    projvU = i/3 + j/6 - k/6 projuV = i/2 - j/2

    , . , , , .

  2. #2
    ɐ-əpoɔᴉu⋂ ɐ ə anrieff's Avatar
    Join Date: Apr:2004
    Location: Sofia
    Posts: 8,448
    .

    projvU = (u.v / length(v))v

    length(v) = (v.v) - , "|v|"

    (2/(6), 1/(6), -1/(6))
    (1/(2), -1/(2), 0)
    Last edited by anrieff; 20th November 2012 at 08:57. Reason:
    , . .
    "640K ught to be enough for anybody" - Bill Gates, 1981
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  3. #3
    Deleted User 4eRNoBiL's Avatar
    Join Date: Oct:2005
    Location:
    Posts: 739
    , u*v / |v|^2 u*v / |u|^2, . v u , . :
    Code:
    (u*v /|v|^2)*v = (1 / sqrt(6)^2)*v = 1/6*v = <1/3, 1/6, -1/6>

    Code:
    (u*v /|u|^2)*u = (1 / sqrt(2)^2) = 1/2*u = <1/2, -1/2, 0>
    |u|^2 |v|^2 - , .


    , anrieff, . .
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