gjhfdfg
Plotting complex numbers?
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gjhfdfg
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Ive got ,
\[-5\sqrt{3} - \]
Tom-Todd
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Plot them on an argand diagram, where the Y axis is in terms of i
gjhfdfg
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I meant \[-5 \sqrt{3} -5i\]
How do I plot the sqrt 3?
Tom-Todd
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One sec, I got to look something up
Tom-Todd
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so, -5(root)3 would be your x coordinate then -5i would be your y
Tom-Todd
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I guess you just have to work out roughly where -5(root)3 would be on your x axis
Tom-Todd
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it's going to be at about -8.5
gjhfdfg
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Alright, & -5i means its gonna be on the y axis right?
Tom-Todd
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Yeah, -5i is on the y axis, however, the Y acis on an argand diagram is actually in terms of i
ZeHanz
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You can use the fact that there is a 30-60-90 triangle involved. This means you can find the point exactly. Sound a bit complicated, so I'll try to make a drawing...
(just hold on a sec!)
gjhfdfg
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30-60-90 triangle? O_O
ZeHanz
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Here is what I mean: (It is drawn as point D)
ZeHanz
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The circle has a radius 10.
gjhfdfg
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Ah Ok, I get it.!
ZeHanz
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You can recognise it by the combination of numbers, e.g. 2+2√3 i, or 5√3-5i...
gjhfdfg
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Got it
ZeHanz
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Nice!
ZeHanz
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(Don't mean to be rude, but this image could also help - even if you already understand ;) )
gjhfdfg
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How would I plot 2 + i ?
Would it make the 2 on the y axis also?
ZeHanz
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2 to the right, 1 up: a+bi corresponds to point (a, b)...
gjhfdfg
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Alrighty, thank you.!