Complex Numbers and Argand Diagrams

What replaces the x-axis in an argand diagram when representing complex numbers?

• The real part

• The imaginary part

• The complex conjugate

• The magnitude

What replaces the y-axis in an argand diagram when representing complex numbers?

• The real part

• The imaginary part

• The complex conjugate

• The magnitude

What is the complex conjugate of a complex number?

• Switching the sign of the real part

• Switching the sign of the imaginary part

• Switching the sign of both the real and imaginary parts

• Switching the sign of neither the real nor imaginary parts

How is the complex conjugate of a complex number represented on an argand diagram?

• As a reflection in the real axis

• As a reflection in the imaginary axis

• As a reflection in both the real and imaginary axes

• As a reflection in neither the real nor imaginary axes

What is the result of adding Z1 and Z2, where Z1 = 3 + 2i and Z2 = -4 + i?

• -1 + 3i

• -1 - 3i

• 1 + 3i

• 1 - 3i

What is the result of subtracting Z2 from Z1, where Z1 = 3 + 2i and Z2 = -4 + i?

• 7 + i

• 7 - i

• -7 + i

• -7 - i

What is the relationship between complex numbers and vectors on an argand diagram?

• Complex numbers and vectors are unrelated

• Complex numbers can be represented as vectors on an argon diagram

• Vectors can be represented as complex numbers on an argon diagram

• Complex numbers and vectors have a similar representation on an argon diagram

What is the resulting complex number when Z1 and Z2 are added as vectors?

• Z1 + Z2

• Z1 - Z2

• Z2 - Z1

• Z1 * Z2

What is the resulting complex number when Z1 and Z2 are subtracted as vectors?

• Z1 + Z2

• Z1 - Z2

• Z2 - Z1

• Z1 * Z2

What is the representation of the complex number 7 + i on an argand diagram?

• 7 units to the right, 1 unit up

• 7 units to the left, 1 unit down

• 7 units to the right, 1 unit down

• 7 units to the left, 1 unit up