Complex Numbers-Introduction

What is the imaginary unit denoted by 'j' defined as?

• j=0

• j=1

• j=-1

• j raised to 2 =-1

Which of the following is the correct representation of a complex number in rectangular form?

• Z= a * jb

• Z= a / jb

• Z= a + jb

• Z= a - jb

What is the conjugate of the complex number 3+j2?

• 3+j2
• 3+j2
• 3+j2
• 3-j2

If Z1=4+j5 and Z2=2−j3, what is Z1-Z2 in rectangular form?

• 2 + j8

• 2-j8

• 2-j2

• 6-j8

The magnitude (modulus) of the complex number 6-j8 is:

• 14
• 5
• 2
• 10

What is the polar form of the complex number 2+j3?

• The polar form of the complex number 2+j3 is 5.8309∠123.69°
• The polar form of the complex number 2+j3 is 1.732∠30°
• The polar form of the complex number 2+j3 is 3.6056∠56.31°
• The polar form of the complex number 2+j3 is 4.472∠45°

The product of (3+j4) and (2-j) is:

• 5 + j10

• 10 + j5

• 6 - j7

• 12 - j3

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

• 90 degrees
• 180 degrees
• 0 degrees
• -45 degrees

The division of 5+j2 by 1-j is:

• 5+j3
• 1-j2
• 3+j2
• 1.5+j3.5

If Z=2+j7, what is the magnitude of z?

• 9.45
• 7.28
• 3.14
• 5.67