Recent content by Will

  1. W

    study for physics

    ...my cat's breath smells like cat food
  2. W

    study for physics

    oh come on, you should know excellence is our school motto well, "pursuit of excellence" in such context i see excellence as the betterment of oneself through the upkeep of human endeavours; progress my point is that, excelling is not about being better than others, beating others or...
  3. W

    study for physics

    I believe: "Real excellence and humility are not incompatible one with the other, on the contrary they are twin sisters." -Jean Baptiste Lacordaire
  4. W

    what u wanna do next year??

    :)
  5. W

    what u wanna do next year??

    yep my preferences are 1 511718 Bachelor of Engineering (Aeronautical) (Space) at University of Sydney 2 511801 Bachelor of Combined Law at University of Sydney 3 511770 Bachelor of Engineering/Bachelor of Science at University of Sydney 4 511733...
  6. W

    study for physics

    98 raw in trial yes.
  7. W

    what u wanna do next year??

    aerospace engineering at usyd or aero eng / law at usyd or maybe eng / advanced science (physics)
  8. W

    What You All Get?

    didn't complete a couple of solutions in q4,5 and 7 110 max that paper was piss easy compared to other years i mean come on, who didn't finish question 8 that's so wrong
  9. W

    whats the answer??

    nb: we're dealing with ordered arrangements i) you can have 4xx 5xx 6xx... 9xx ie 6 different 1st digits then 8 * 7 ways of choosing the last 2 digits ie 8P3 total combinations = 9P3 thus, P = 8P3/9P3 = 2/3 ii) do each case selectively for first digit 9, you have 8...
  10. W

    Complex Numbers Question

    Here we go, algebraic proof #2 (proof #4) let z1 = a+bi and z2=c+di square both sides collect like terms square both sides again you end up with the ratio ac=bd ie b/a = d/c since argZ1 = arctan (b/a) and argZ2 = arctan (d/c) therefore argZ1 = argZ2 (as b/a = d/c) elegant...
  11. W

    Complex Numbers Question

    Spicegirl: technically, your proof is geometric as you use geometric properties (angles, parallel lines, cointerior angles of parallel lines) to give geometric representations of your algebraic constructs. try again :)
  12. W

    Complex Numbers Question

    IS THAT YOU, DENG?
  13. W

    Complex Numbers Question

    Well yes, the question asks to prove the result geometrically as well as algebraically. obvious as the statement is, it was the algebraic method that was beyond me.
  14. W

    Complex Numbers Question

    A friend of mine also proved this result by showing Z1/Z2 is equal to its conjugate, the algebra being quite complex (heh, no pun intended). It'd be interesting to see how many methods people come up with
  15. W

    Complex Numbers Question

    let A be point Z1 B be point Z2 and C be point Z2 + Z1 x is the angle OAC angle AOB = argZ1 - argZ2 (by observation) and OAC = pi - AOB (AC||OB, cointerior angles of parallel lines supplimentary) thus x = pi - [argZ1 - argZ2]
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