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Math Help - Solving Vector Algebra Equation

  1. #1
    Junior Member
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    Question Solving Vector Algebra Equation

    I have been really struggling to get my head around the following.

    Solve the equation 2((1,2,3)-X) - (-2,0,4) = -2(1,2,3) for X.

    Help appreciated.
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  2. #2
    MHF Contributor red_dog's Avatar
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    Let X=(x,y,z).

    2[(1,2,3)-(x,y,z)]-(-2,0,4)=-2(1,2,3)

    (2,4,6)-2(x,y,z)=(-2,0,4)-(2,4,6)

    2(x,y,z)=2(2,4,6)-(-2,0,4)=(6,8,8)\Rightarrow (x,y,z)=(3,4,4)
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