Question

match each of the vocabulary words with the correct definition.

1. the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part
2. the plane for complex numbers in the form of a + bi where the real part of a complex number, a, is plotted on the horizontal axis and the imaginary part, bi, is plotted on the vertical axis
3. a complex number which is of the form z = r(cos θ+isin θ) where r is the length of the vector and θ is the angle made with the positive real axis
4. a complex number which is of the form z = a + bi, where a and b are both real numbers
5. an object that shows direction and magnitude

polar form
complex plane
rectangular form
complex number
vector

Explanation:

1. La definición "the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part" corresponde a un número complejo.
2. "the plane for complex numbers in the form of a + bi where the real part of a complex number, a, is plotted on the horizontal axis and the imaginary part, bi, is plotted on the vertical axis" es el plano complejo.
3. "a complex number which is of the form z = r(cos θ+ isin θ) where r is the length of the vector and θ is the angle made with the positive real axis" es la forma polar.
4. "a complex number which is of the form z = a + bi, where a and b are both real numbers" también es un número complejo, pero se refiere a la forma rectangular.
5. "an object that shows direction and magnitude" es un vector.

Answer:

1. complex number
2. complex plane
3. polar form
4. rectangular form
5. vector