Consider the two complex numbers Z₁ = ein/4 and Z₂ = e²³π/4 Plot Z₁, Z2, Z₁, and z2 in the complex plane and label them. Calculate Z₁ Z2, Z₂/Z₁, and z₂z₁ using the polar forms given. Simplify your answers. Write z₁ and Z₂ in the Cartesian form a+bi, then calculate their product Z₁ Z₂ using your results. Check your answer with the result you obtained in part (b).
Consider the two complex numbers Z₁ = ein/4 and Z₂ = e²³π/4 Plot Z₁, Z2, Z₁, and z2 in the complex plane and label them. Calculate Z₁ Z2, Z₂/Z₁, and z₂z₁ using the polar forms given. Simplify your answers. Write z₁ and Z₂ in the Cartesian form a+bi, then calculate their product Z₁ Z₂ using your results. Check your answer with the result you obtained in part (b).
Consider the two complex numbers Z₁ = ein/4 and Z₂ = e²³π/4 Plot Z₁, Z2, Z₁, and z2 in the complex plane and label them. Calculate Z₁ Z2, Z₂/Z₁, and z₂z₁ using the polar forms given. Simplify your answers. Write z₁ and Z₂ in the Cartesian form a+bi, then calculate their product Z₁ Z₂ using your results. Check your answer with the result you obtained in part (b).
Help me with this problem, assuming I have no prior knowledge of complex numbers.
Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.
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