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Math Help - Complex number problem...

  1. #1
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    Smile Complex number problem...

    two complex numbers: z and w are given by
    z = 5.2 - 3.4j
    w = 1.6 + 4.2j

    (i) find z + w, zw and z/w.

    (ii)
    find z - w, express this in polar form and plot it on an Argand Diagram.

    Any workings for the first part will be greatly recieved, and any help for second will be a bonus
    Thankss...
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by mucky View Post
    two complex numbers: z and w are given by
    z = 5.2 - 3.4j
    w = 1.6 + 4.2j

    (i) find z + w, zw and z/w.

    (ii)
    find z - w, express this in polar form and plot it on an Argand Diagram.

    Any workings for the first part will be greatly recieved, and any help for second will be a bonus
    Thankss...
    just remember that (a+bi)\pm(c+di)=(a\pm{b})+(ci\pm{di})
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by mucky View Post
    two complex numbers: z and w are given by
    z = 5.2 - 3.4j
    w = 1.6 + 4.2j

    (i) find z + w, zw and z/w.
    Add like plus like:
    (a + jb) + (c + jd) = (a + c) + (b + d)j

    wz: Just FOIL it out. And remember that j^2 = -1.

    z / w: Hint: rationalize the denominator. aka multiply the numerator and denominator by the complex conjugate of the denominator.

    -Dan
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