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  1. A

    Argand Diagram... S:

    how come 1 + cis120 = cis60?
  2. A

    Argand Diagram... S:

    is it just me, or do the latex links not load?
  3. A

    Argand Diagram... S:

    On an Argand diagram the points P and Q represent the numbers z1 and z2 respectively. OPQ is an equilateral triangle. Show that (z1)^2 + (z2)^2 = z1 x z2
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    Complex Numbers - Cambridge Question

    thanks a lot guys
  5. A

    Complex Numbers - Cambridge Question

    If |z1 + z2| = |z1 - z2|, find the possible values of arg(z1/z2)
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    De Moivre's Theorem

    wow that was efficient. thanks
  8. A

    De Moivre's Theorem

    Express the following in x+ yi form: (3 - 4i)^5 / (4 + 3i)^3
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    Argand Diagrams

    oooh i get it. thank you.
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    Argand Diagrams

    I still don't understand the 'symmetric about y=x' part :S
  11. A

    Argand Diagrams

    Q: If w = -4 + 3i, plot on the complex plane the point symmetric to w with respect to a) the origin b) the line with equation y = x How do i do this question. I don't understand. Thank you.
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    Most outstanding student scholarship

    UWS scholarship?
  14. A

    Another complex number question

    wow thank you so much for everything Jetblack :D
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    Another complex number question

    Let H and K be the points representing the roots of x^2 + 2px + q = 0, where p and q are real and p^2 < q. Find the algebraic relation satisfied by p and q if angle HOK is a right angle.
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    complex nuuuuumbers

    how did you change it so that the discriminant became 4 - p^2?
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    complex nuuuuumbers

    If p is real, and -2<p<2, show that the roots of the equation x^2 + px + 1 = 0 are non-real complex numbers with modulus 1.
  19. A

    Complex Numbers

    Can someone please show me how to do the following question: State the modulus and argument of -1 + i. Hence write (-1 + i)^18 in the form a + ib Answer: -512i (For some reason, i always get a very very small real part of my complex number along with -512i.)
  20. A

    Complex Number Proof.

    oooh i see. so when we take the conjugate in this case, only the number has its sign changed?
  21. A

    Complex Number Proof.

    Prove: conjugate of (1/z) = 1 / conjugate of z
  22. A

    Question on dry cell and button cell.

    1) What is the electrolyte made of in the dry cell (different textbooks have so many different types :S) 2) What is the anode and cathode composed of in the button cell? 3) What is cathode reaction, anode reaction and overall reaction for the silver button cell. (again, textbooks have...
  23. A

    Difference between galvanic and electrolytic cell?

    I don't recall needing to know about electrolytic cells in Production of Materials. Which dotpoint does this fall under?
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