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Triangle inequality btw.
how did you get the 2Re(zw) term?
how did you get the 2Re(zw) term?
Here is what is happening. Let's use a very simple term supposehow did you get the 2Re(zw) term?
This is pretty much vectors in complex no.s. You might find it a little difficult if you haven't yet learnt the basics of vectors assuming you're still in yr 10 lol.View attachment 33403
I am having troubling understanding this statement
For purely real numbers, the argument is 0. (it can also be pi but to make it more apparent go with 0.)View attachment 33403
I am having troubling understanding this statement
You're learning latexFor purely real numbers, the argument is 0. (it can also be pi but to make it more apparent go with 0.)
Hence
through arg laws (kinda functions the same way as log laws do but you should know them by now)
Since there is two common points between both vectors being "A" or "z_1" and the argument is the same for both vectors, all the points must be collinear.
ohhh that makes so much sense thxFor purely real numbers, the argument is 0. (it can also be pi but to make it more apparent go with 0.)
Hence
through arg laws (kinda functions the same way as log laws do but you should know them by now)
Since there is two common points between both vectors being "A" orand the argument is the same for both vectors, all the points must be collinear.
If it still doesn't make sense, plot 3 random points labelling themand try drawing vectors that comply with the rule;
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From part a we see that A, B and C are collinear. There we will see depending on the situation the three cases are what ifView attachment 33404
For the solution of part b I don't quite get the last step View attachment 33405