Given the displacement vector D = (2î − 6ĵ) m, find the displacement vector (in m) R so that D + R = −5Dĵ.

Question

Given the displacement vector D = (2î − 6ĵ) m, find the displacement vector (in m) R so that D + R = −5Dĵ.

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Tryphena 5 years 2021-07-29T17:54:53+00:00 1 Answers 20 views 0

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  1. Helga
    0
    2021-07-29T17:56:33+00:00
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    Answer:

    R = (-2î − 6ĵ + 10k^)m

    Explanation:

    We are given;

    D = (2î − 6ĵ)

    Now, we want to find R such that,

    D + R = −5Dĵ

    Plugging in (2î − 6ĵ) for D in the R equation gives;

    (2î − 6ĵ) + R = -5(2î − 6ĵ)j

    (2î − 6ĵ) + R = -10k + 0

    This is because in vector multiplication, i × j = k and j × j = 0

    Thus;

    (2î − 6ĵ) + R = -10k

    Making R the subject gives;

    R = -2î − 6ĵ + 10k^

    Thus, the displacement vector R is;

    R = (-2î − 6ĵ + 10k^)m

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