Determine whether the statement is true or false. Justify your answer. a. The modulus of the difference of two complex numbers is equal to the difference of their moduli. b. The product of two complex numbers is 0 only when the modulus of one (or both) of the complex numbers is 0. c. Geometrically, the nth roots of any complex number is z are equally spaced around the unit circle.
Determine whether the statement is true or false. Justify your answer. a. The modulus of the difference of two complex numbers is equal to the difference of their moduli. b. The product of two complex numbers is 0 only when the modulus of one (or both) of the complex numbers is 0. c. Geometrically, the nth roots of any complex number is z are equally spaced around the unit circle.
Determine whether the statement is true or false. Justify your answer. a. The modulus of the difference of two complex numbers is equal to the difference of their moduli. b. The product of two complex numbers is 0 only when the modulus of one (or both) of the complex numbers is 0. c. Geometrically, the nth roots of any complex number is z are equally spaced around the unit circle.
Determine whether the statement is true or false. Justify your answer.
a. The modulus of the difference of two complex numbers is equal to the difference of their moduli.
b. The product of two complex numbers is 0 only when the modulus of one (or both) of the complex numbers is 0.
c. Geometrically, the nth roots of any complex number is z are equally spaced around the unit circle.
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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