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Math Help - [SOLVED] vectors' coefficients

  1. #1
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    Unhappy [SOLVED] vectors' coefficients

    (these are 3d vectors that were in columnar form, but i posted in component form cuz i dont know how to type column form.)

    (p[ 1i + 2j + 3k ] ) + (q[ 0i + 4j - 2k]) + (r[0i + 1j +2k]) = [1i + 0j + 1k]

    find the values of the scalar quantities p, q, & r.

    This may be upper-level math, but im a high schooler in IB math. i would appreciate somethin i could eazily follow...thx
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  2. #2
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    Don't panic, this is a linear combiantion of vector.

    Write the vectors in column and you will see that you have :

    All the first entries of the vectors to the left must equal one,

    1p+0q+0r =1


    All the second entries of the vectors to left must equal 0,

    2p+4q+1r =0

    All the third entries of the vectors to the left must equal 1,

    3p+2q+2r=1

    You are left with a system of linear equations as follow:

    p =1
    2+4q+r=0
    3+2q+2r=1

    I hope that you can finish this, you have two equations and two unknowns because you know that p =1 from the first equation.

    Cheers
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