Imaginary and Complex Numbers

What is the imaginary unit "i" equal to?

• 1

• -1

What is the result of squaring the imaginary unit "i"?

• 1

• -1

• i

• 2i

If a complex number is represented as a + bi, what does 'a' represent?

• The real part

• The imaginary part

• The coefficient of i

• The absolute value

How do you calculate the absolute value (or modulus) of a complex number a + bi?

What is the conjugate of a complex number a + bi?

• a - bi

• a + bi

• -a + bi

• -a - bi

How do you multiply two complex numbers (a + bi) and (c + di)?

• ac - bd + (ad + bc)i

• ac + bd + (ad + bc)i

• ac - bd + (ad - bc)i

• ac + bd + (ad - bc)i

What is the result of dividing two complex numbers (a + bi) and (c + di)?

What is the result of raising the imaginary unit "i" to the power of 4?

• 1

• -1

• i

• 2i

What is the polar form of a complex number a + bi?

• r(cos θ + i sin θ)

• r(cos θ - i sin θ)

• r(sin θ + i cos θ)

• r(sin θ - i cos θ)

How do you calculate the argument (or angle) of a complex number a + bi in the complex plane?