Let Z₁, Z2, Z3 be three complex numbers and a, b, c be real numbers not all zero, such that a + b + c = 0 and az₁ + bz₂ + cz30. Show that Z₁, Z2, Z3 are collinear.
Let Z₁, Z2, Z3 be three complex numbers and a, b, c be real numbers not all zero, such that a + b + c = 0 and az₁ + bz₂ + cz30. Show that Z₁, Z2, Z3 are collinear.
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Transcribed Image Text:Let Z₁, Z2, Z3 be three complex numbers and a, b, c be real
numbers not all zero, such that a + b + c = 0 and az₁ + bz₂ +
cz30. Show that Z₁, Z2, Z3 are collinear.
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