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IB Mathematics: Applications and Interpretation HL · AHL 6: Complex Numbers · AHL 6.1

The number i and Cartesian form Problem set B Answers

Skills

    1. (a) \(-1\)
    2. (b) \(-5i\)
    3. (c) \(-9\)
    4. (d) \(-125i\)
    1. (a) \(8i\)
    2. (b) \(5 \sqrt{3}\,i\)
    3. (c) Re = −2, Im = −7
    1. (a) \(4 + 4i\)
    2. (b) \(11 - 6i\)
    1. (a) \(13 - 13i\)
    2. (b) \(-10 - 11i\)
    1. (a) \(16 - 30i\)
    2. (b) \(-35 + 12i\)
    1. (a) \(-13 + 14i\)
    2. (b) \(12 + 13i\)
    1. (a) \(23 + 14i\)
    2. (b) \(5i\)
    1. (a) Ben is right: 29. Ana used \(i^2 = +1\).
    2. (b) \(-3 + i\). No two terms are multiplied, so no \(i^2\) appears.

In context

    1. (a) \(3 + 5i\) mV
    2. (b) \(4 + 18i\) mV

Stretch

    1. (a) 0
    2. (b) \(-1\)
    1. (a) Shown
    2. (b) \(8i\)

jmaths.xyz · AI HL · AHL 6.1 The number i and Cartesian form