For x 1- x 2- y 1- y 2- R- if 0-z2-z3- -z1-z3-z2-D- -z1-z2-z3-

Clearly, |z_1| lt;|z_3| lt;|z_2|, as z_3 is mid point of z_1 and z_2. ...

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Applications of Cross Product

For x 1, x 2,...

Question

For $x_{1}, x_{2}, y_{1}, y_{2} ϵ R$ , if 0 < $x_{1}$ < $x_{2}, y_{1} = y_{2}$ and $z_{1} = x_{1} + i y_{1}, z_{2} = x_{2} + i y_{2}$ and $z_{3} = \frac{1}{2} (z_{1} + z_{2})$ , then $z_{1}, z_{2}, z_{3}$ satisfy

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Similar questions

The coordinates of the mid-point of the line segment joining two points P(X₁, y₁, z₁) and Q(x₂, y₂, z₂) are:

x_{1} = 3 y_{1} + 2 y_{2} - y_{3}, y_{1} = z_{1} - z_{2} + z_{3} x_{2} = - y_{1} + 4 y_{2} + 5 y_{3}, y_{2} = z_{2} + 3 z_{3} x_{3} = y_{1} - y_{2} + 3 y_{3}, y_{3} = 2 z_{1} + z_{2}

x_{1},

z_{1}, z_{2}, z_{3}

x_{1} = z_{1} - 2 z_{2} + k z_{3}

z_{1} = x_{1} + i y_{1}

z_{2} = x_{2} + i y_{2}

z_{1} \cap z_{2}

x_{1} \leq x_{2}

y_{1} \leq y_{2}

z

1 \cap z

\frac{1 - z}{1 + z} \cap 0

x^{2} + y^{2} \geq 0

y \geq 0

z_{1} = x_{1} + i y_{1}

z_{2} = x_{2} + i y_{2}

z_{1} \cap z_{2}

x_{1} \leq x_{2}

y_{1} \leq y_{2}

1 \cap z

((1 - z) / (1 + z)) \cap 0

z_{1} = x_{1} + i y_{1}, z_{2} = x_{2} + i y_{2}

2 i ∣ ∣ ∣ \begin{matrix} x_{2} & y_{2} x_{1} & y_{1} \end{matrix} ∣ ∣ ∣

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