Want to see correct answers?
Login or join for free!
Question Group Info

This question group is public and is used in 2 tests.

Author: nsharp1
No. Questions: 5
Created: Jul 17, 2019
Last Modified: 5 years ago

Multiplication in the Complex Plane

View group questions.

To print this group, add it to a test.

Let z1=4+4i and z2=-1+3i.
Grade 11 Complex Numbers CCSS: HSN-CN.B.5
A.
What is the product of z1 and z2?
  1. 8+8i
  2. 8-8i
  3. -16+8i
  4. 3+7i
Grade 11 Complex Numbers CCSS: HSN-CN.B.5
B.
What is the modulus, r, and argument, θ, of z1? List them as (r,θ).
  1. (4, 90°)
  2. (2√2, 90°)
  3. (4, 45°)
  4. (4√2, 45°)
Grade 11 Complex Numbers CCSS: HSN-CN.B.5
C.
What is the modulus, r, and argument, θ, of z2? List them as (r,θ).
  1. (√2, -19.5°)
  2. (√10, 108.4°)
  3. (2, 161.4°)
  4. (√10, -71.5°)
Grade 11 Complex Numbers CCSS: HSN-CN.B.5
D.
What is the modulus, r, and argument, θ, of the product of z1 and z2? List them as (r, θ).
  1. (8√2, 45°)
  2. (8√2, -45°)
  3. √58, 66.8°)
  4. (8√5, 153.4°)
Grade 11 Complex Numbers CCSS: HSN-CN.B.5
E.
What is the relationship between the answers in parts b and c and the answer in part d?
  1. The moduli of z1 and z2 multiplied together equals the modulus of z1z2, and the arguments of z1 and z2 added together equals the argument of z1z2.
  2. The moduli of z1 and z2 multiplied together equals the modulus of z1z2, but the arguments have no special relationship.
  3. The moduli have no special relationship, but the arguments of z1 and z2 added together equals the argument of z1z2.
  4. There is no relationship.