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    joy_c_0612's Avatar
    joy_c_0612 Posts: 1, Reputation: 1
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    #1

    Feb 17, 2007, 09:40 PM
    finding the coordinates
    hi! This is the problem included in a math contest of my brother. Could you please help me with this one.

    Given coordinates A(-5,2) and B(5,7) and Ax/xB = 2/3, find the coordinates of x.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Feb 18, 2007, 06:49 AM
    Set up a small system of equations.

    A=(-5,2)
    B=(5,7)

    [-5,2]*[x,y]=2
    [5,7]*[x,y]=3

    Can you continue?
    sohini1985's Avatar
    sohini1985 Posts: 1, Reputation: 1
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    #3

    Feb 18, 2007, 07:11 AM
    Quote Originally Posted by joy_c_0612
    hi! this is the problem included in a math contest of my brother. could you please help me with this one.

    Given coordinates A(-5,2) and B(5,7) and Ax/xB = 2/3, find the coordinates of x.
    [-5,2]*[x,y]=2
    [5,7]*[x,y]=3

    solve like this
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #4

    Feb 18, 2007, 07:19 AM
    Yes, I got x=-8/45 and y=5/9.

    Using the dot product.

    [-5,2]*[-8/45,5/9]=2
    [5,7]*[-8/45,5/9]=3

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