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? asked in Education & ReferenceHomework Help · 2 weeks ago

 Find the projection ofv=<2,−2>alongw=<−3,1>(in other words find projwv). Show your work (no credit with answers without supporting work).?

please help me before yahoo shuts down :(

1 Answer

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  • Sean
    Lv 5
    2 weeks ago

    YOUR WISH IS GRANTED

    cos = (2,-2).(-3,1)/|(2,-2)||-3,1| = (-6-2)/sqrt(8*10) = -8/sqrt(80)  = -4/sqrt(20)

    -2/s(5) *s(8)/s(10)

    projection on (-3,1) = cos* |2,-2|/|-3,1| *|-3,1|

    = (-4/sqrt(20))*sqrt(8)/sqrt(10)*(-3,1) =

    -sqrt(128)/sqrt(200) *(-3,1) = sqrt(32)/sqrt(50) * (-3,1) = sqrt(16/25)*(-3,1)

    = .8*(-3,1) = (-2.4,.8)

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