- #1
Bradyns
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Homework Statement
Question:
Homework Equations
Any relevant to complex numbers.
The Attempt at a Solution
Given,
Arg([itex]\frac{z}{w}[/itex])= Arg(z)-Arg(w)
z=x+yi
z1 = -1-2i
z2 = 2+3i
Arg(z-z1)=Arg(z2-z1)
LHS:
Arg(x+yi+1+2i)
Arg((x+1) + i(y+2))
tan([itex]\theta[/itex])=[itex]\frac{y+2}{x+1}[/itex]
RHS
Arg(2+3i+1+2i)
Arg(3+5i)
tan([itex]\theta[/itex])=[itex]\frac{5}{3}[/itex]
RHS = LHS
[itex]\frac{y+2}{x+1}[/itex] = [itex]\frac{5}{3}[/itex]
Simplified
y = [itex]\frac{5}{3}[/itex]x -[itex]\frac{1}{3}[/itex]
Is this right?