z_2

Собирање

z_3

z_2

\textrm{\huge Комплексни брови}

Множење

Делење

z_4

Одземање

z_1 = (6, 6)
B = Intersect(xAxis, yAxis)
u = Vector(B, z_1)
x_1: x(u)
y_1: y(u)
C = (-3, 5)
z_2 = Vector(B, C)
x_2: x(z_2)
y_2: y(z_2)
z_3: u + z_2
a = true
A' = Translate(z_1, z_2)
z_{33} = Vector(z_1, A')
x_3: x(z_3)
y_3: y(z_3)
text3: "z_3=z_1+z_2=" + (LaTeX[x_3]) + "+" + (LaTeX[y_3]) + "i"
f_1: sqrt(x_1^(2) + y_1^(2))
r_1 = SurdText(f_1)
f_2: sqrt(x_2^(2) + y_2^(2))
r_2 = SurdText(f_2)
g_1: arg(u)
g_2: arg(z_2)
x_5: x_1 * x_2 - y_1 * y_2
y_5: x_1 * y_2 + y_1 * x_2
z_5: (x_1 + y_1 * ί) * (x_2 + y_2 * ί)
b = false
g_4: arg(z_5)
f_5: f_2 * f_1
r_5 = SurdText(f_5)
z_{55} = Vector(B, z_5)
t: x_2^(y_2^(2))
z_6: (x_1 + y_1 * ί) / (x_2 + y_2 * ί)
c = false
v = Vector(B, z_6)
g_6: arg(z_6)
f_6 = Length(z_6)
r_6 = SurdText(f_6)
f_3 = Length(z_3)
r_3 = SurdText(f_3)
g_3: arg(z_3)
text11: "\begin{eqnarray}
\arg z_6&=&\arg z_1-\arg z_2\\
&=& " + (LaTeX[g_1]) + "-" + (LaTeX[g_2]) + " \\
&=& " + (LaTeX[g_6]) + "
\end{eqnarray}"
text10: "z_6=\frac{z_1}{z_2}=" + (LaTeX[z_6]) + ""
text7: "z_5=z_1z_2=" + (LaTeX[z_5]) + ""
text8: "|z_5|=|z_1||z_2|=" + (LaTeX[r_5]) + ""
text9: "\begin{eqnarray}
\arg z_5&=&\arg z_1+\arg z_2\\
&=&" + (LaTeX[g_1]) + "+" + (LaTeX[g_2]) + "\\
&=&" + (LaTeX[g_4]) + "
\end{eqnarray}"
z_4: x_1 - x_2 + (y_1 - y_2) * ί
z_{22}: -z_2
A = Translate(z_1, z_{22})
w = Vector(z_1, A)
text4: "\begin{eqnarray}
|z_1|&=&" + (LaTeX[r_1]) + "\\ \arg z_1&=&" + (LaTeX[g_1]) + "
\end{eqnarray}"
text6: "\begin{eqnarray}
|z_2|&=&" + (LaTeX[r_2]) + "\\ \arg z_2 &=&" + (LaTeX[g_2]) + "
\end{eqnarray}"
text13: "\begin{eqnarray}
|z_3|&=&" + (LaTeX[r_3]) + "\\ \arg z_3 &=&" + (LaTeX[g_3]) + "
\end{eqnarray}"
d = true
text14: "z_4 = z_1-z_2=" + (LaTeX[z_4]) + ""
z = Vector(B, z_4)
f_4 = Length(z_4)
r_4 = SurdText(f_4)
text15: "\begin{eqnarray}
|z_4|&=&" + (LaTeX[r_4]) + "\\
\arg z_4&=& " + (LaTeX[g_4]) + "
\end{eqnarray}"
D = Point(xAxis)
e = Segment(B, D)
f = Segment(B, C)
α = Angle(D, B, C)
g = Segment(B, z_1)
β = Angle(D, B, z_1)
E = (-9, 5.5)
F = (-9, 3.5)
G = (-6, 3.5)
H = (-6, 5.5)
poly1, e_1, f_7, g_5, h = Polygon(E, F, G, H)
text1: "\large z_1 = " + (LaTeX[x_1]) + "+" + (LaTeX[y_1]) + "i"
I = (-4.5, 5.5)
J = (-4.5, 3.5)
K = (-1.5, 3.5)
L = (-1.5, 5.5)
poly2, i, j, k, l = Polygon(I, J, K, L)
text2: "\large z_2 = " + (LaTeX[x_2]) + "+" + (LaTeX[y_2]) + "i"
text12: "\begin{eqnarray}
|z_6|&=&\frac{|z_1|}{|z_2|}\\ &=&" + (LaTeX[r_6]) + "
\end{eqnarray}"