Complex Numbers

Operations

100

3 + 4i - (2 - 5i)

1 + 9i

200

18cis(32)*2cis(238) in rectangular form

-36i

300

(9+2i)(-7-3i)

-57 - 41i

400

4cis(80) - 11cis(130)

3.6 + 6.3i

500

Divide: (5 - 12i)/(3 - 2i)

-9/13 - 46/13i

Imaginary plane

100

This is the orientation of the real axis on the complex plane

Horizontal

200

This is the orientation of the imaginary axis in the complex plane

Vertical

300

This is the definition of the average of two complex numbers on the complex plane

midpoint

400

This is the range of arguments in the third quadrant of the complex plane

180 to 270

500

This is the distance between -6 + 3i and 3 - 8i on the coordinate plane.

sqrt(202)

Forms

100

Write in polar form:

-5

5cis(180)

200

Convert to rectangular form:

10cis(45)

10/sqrt(2)+10/sqrt(2)i

300

Write in polar form:

4i

4cis(90)

400

Write in rectangular form:

7cis(99)

-1.1 +6.9i

500

Write in polar form:

-9 - 15 i

17.5cis(239.04)

Vector Parallels

100

A complex number has this many components

2

200

In a vector, called magnitude.  In a complex number, called __________________

Absolute value or modulus

300

In a vector, called magnitude-direction form.  In a complex number, called __________________

Polar form

400

In a vector, called direction.  In a complex number, called ____________

argument

500

How is a complex number different from a vector?

A complex number is a single point, a vector is an entire directed line segment.

Misc.

100

Name a vegetable.

Correct answers include: carrot, broccoli, cauliflower, corn, peas, green beans, celery, lettuce...

200

Evalue: 35i^2

-35

300

What is the capitol of Florida?

Tallahassee

400

What is the digit in the hundred thousandths place of pi?

9

500

4cis(900)^1/2

2cis(90)