Two vectors are given as A⃗ = 2i^ + 3j^ − 3k^ and B⃗ = -1i^ + 5j^ + 3k^. Find A⃗ ⋅ B⃗

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Two vectors are given as A⃗ = 2i^ + 3j^ − 3k^ and B⃗ = -1i^ + 5j^ + 3k^. Find A⃗ ⋅ B⃗

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Thành Công 3 years 2021-08-31T04:40:42+00:00 1 Answers 9 views 0

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  1. phucdien
    0
    2021-08-31T04:42:17+00:00
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    Answer:

    A·B = 4

    Explanation:

    Given that,

    Vector A = 2i+3j-3k

    Vector B = -i+5j+3k

    We need to find the value of A·B.

    We know that,

    i·i=j·j=k·k = 1 and i·j=j·k=k·i=0

    So,

    A\cdot B=(2i+3j-3k)\cdot (-i+5j+3k)\\\\=-2+5(3)+(-3)(3)\\\\=-3+15-9\\\\=4

    So, the value of A·B is equal to 4.

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