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Math Help - vectors question #4

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    vectors question #4



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    Quote Originally Posted by afeasfaerw23231233 View Post


    What is your question?

    -Dan
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    i cannot find the value of 'lambda'
    it seems that you cannot see my image, would you please click on the following link to get my question?



    my question is here
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by topsquark View Post
    What is your question?

    -Dan
    Sorry. The first attachment didn't load when I first visited this thread.

    -Dan
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by afeasfaerw23231233 View Post


    a)
    OC = OA + AC = a + 2b

    BC = BO + OC = (-b) + (a + 2b) = a + b

    OQ = OB + BQ = OB + (1/3)BC = b + (1/3)(a + b) = (1/3)a + (4/3)b

    b)
    i) OR = OP + PR = (1/2)OA + hPQ

    Now, PQ = PO + OQ = -(1/2)OA + OQ = -(1/2)a + (1/3)a + (4/3)b = -(1/6)a + (4/3)b

    So
    OR = (1/2)OA + hPQ = (1/2)a + h[-(1/6)a + (4/3)b]
    (I'll let you simplify that.)

    ii)
    OR = k OC
    (1/2)a + h[-(1/6)a + (4/3)b] = k[a + 2b]

    From here equate the coefficients of a on each side of the equation and the coefficients of b on each side of the equation. Two equations in two unknowns, h and k, so you can solve this.

    I have to go. See if you can carry on from here.

    -Dan
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