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1 March, 03:56

Vector A has x and y components of - 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and - 60.60 cm, respectively. if Vector A-B+3C=0, what are the components of Vector C

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  1. 1 March, 06:50
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    C = - 4.5 i + 75.6 j

    Explanation:

    In order to find the components of vector C we must sum each of the components in x & y of vectors A, B, C and equal to zero:

    A = - 8.7 i + 15 j

    B = 13.2 i - 60.6 j

    C = ?

    (A) + (B) + (C) = 0

    (-8.7 i + 15 j) + (13.2 i - 60.6 j) + C = 0

    For the x component

    - 8.7 + 13.2 + x = 0

    x = - 4.5 [cm]

    For the y component

    - 15 - 60.6 + y = 0

    y = 75.6 [cm]

    Therefore the vector C is equal to:

    C = - 4.5 i + 75.6 j
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