Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 7 – 4i.

Question

Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 7 – 4i.

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Ben Gia 3 weeks 2021-08-25T02:26:10+00:00 1 Answers 0 views 0

Answers ( )

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    2021-08-25T02:27:20+00:00

    Answer:

    d = 16.55

    Step-by-step explanation:

    Given

    z_1 = -8 + 3i

    z_2 = 7 - 4i

    Required

    The distance between them

    First, calculate the difference (d) between z1 and z2

    d = z_1 - z_2

    d = -8 + 3i - [7 - 4i]

    Open bracket

    d = -8 + 3i - 7 + 4i

    Collect like terms

    d = -8 - 7+ 3i  + 4i

    d = -15+ 7i

    Using modulus, we have:

    d = \sqrt{R^2 + I^2}

    Where

    R = Real Part = -15

    I = Imaginary Part = 7

    So, we have:

    d = \sqrt{(-15)^2 + 7^2}

    d = \sqrt{225 + 49}

    d = \sqrt{274}

    d = 16.55

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )