10.1-10.2 Practice

In the complex plane, the ____________ is the distance from the origin to the complex number point z.

The _________________ is the radian or degree measure of the counter clockwise rotation of the vector representing complex number z.

The rectangular form of a complex number is written as z = a + bi, with (a, b) representing the point in the complex plane. Which of the following represent that point as written in polar form?

In the polar equation z = 6 (cos(45^o) + i sin(45^o), the modulus is:

(just write the number for the answer)

In the polar equation z = 6 (cos(45^o) + i sin(45^o), the argument is:

• z = 2 + 2i

• z = 1 + 2i

What quadrant would the point in polar form land in?
4 ( cos π /3 + i sin π /3)

• Quadrant 4
• Quadrant 1
• Quadrant 2
• Quadrant 3

Find the modulus of the complex number. Also state what quadrant the point would land in.

-3 + i

• √10, Quadrant 2

• √10, Quadrant 3

• 2, Quadrant 2

• 3, Quadrant 3

Find the absolute value of the complex number. Also state what quadrant the point would land in.
2 + 3i

• √13,  Quadrant 1
• √5,  Quadrant 1
• √11, Quadrant 2
• √11, Quadrant 3