samuelclarke
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Plot points 2i, (root3) - i and (-root3) - i on argand diagram. prove that P, Q and R respectively are the vertices of an equilateral triangle.
Complex numbers (1 Viewer)
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umm what
Banned
find distances PQ, QR and PR, they should be equal.
better still, use arguments to find the angles of the triangle, and prove that they are equal.
Carrotsticks
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Better still, show that:better still, use arguments to find the angles of the triangle, and prove that they are equal.
For the 'If and only if case' but since we only want to show one side of the 'iff', we can just show:
And we can clearly see with the 3 vertices there that it is the case.
umm what
Banned
I don't get it :S
Better still, show that:
For the 'If and only if case' but since we only want to show one side of the 'iff', we can just show:
And we can clearly see with the 3 vertices there that it is the case.
Carrotsticks
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It's a very well known 'property' of complex numbers.
umm what
Banned
I don't get the second stepBetter still, show that:
For the 'If and only if case' but since we only want to show one side of the 'iff', we can just show:
And we can clearly see with the 3 vertices there that it is the case.
Is this even within the scope of the HSC???Better still, show that:
For the 'If and only if case' but since we only want to show one side of the 'iff', we can just show:
And we can clearly see with the 3 vertices there that it is the case.
RealiseNothing
what is that?It is Cowpea
If you treat them as vectors, they end up back at the origin. Hence:Is this even within the scope of the HSC???