Argument and Modulus for Complex Numbers

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

If 1-j what is the argument (angle) of z in degrees?

• 90 degrees

• 180 degrees

• 0 degrees

• -45 degrees

The modulus of 5 + 4i is

• 41

• -41

• √41

• -√41

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

Find the modulus of (7 - i) / (3 - 4i)

• 2^1/2

• 2

• 0

• 1

Find the argument of (7 - i) / (3 - 4i)

• 45° , 270°

• 45° only

• π / 4 , 3π / 2

• π / 4 only

• Not Possible

• 2

• 3

• 5

• 7