Evaluate each of the following complex numbers and express the result in rectangular form: a. z1= 3ejπ/4
b. z3= 2e-jπ/2
c. z4=j3
d. z5= j-4

a. , b. , c. , d.

Step-by-step explanation:

All given complex numbers are in polar form, which are characterized by:

Where:

- Magnitude, dimensionless.

- Direction, measured in radians.

The rectangular form of complex numbers is represented by:

Now, each complex number is evaluated:

a.

and

b.

and

c.

By definition of complex number, , which means that . Hence:

d.

By definition of complex number, , which means that .

Hence:

answer: -8.2562234e+13