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25 April, 02:36

Which pair of vectors below, if summed, would create a state of equilibrium (a resultant of 0i + 0j) ?

a. 0i + 0j and 2i - 2j

b. 2i + 2j and 2i - 2j

c. 2i + 2j and - 2i - 2j

d. 2i + 0j and 0i + 2j

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Answers (1)
  1. 25 April, 02:40
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    Right answer: 2i + 2j and - 2i - 2j

    The coordinates of a resulting vector are calculated by algebraically adding the respective components of the vectors.

    In other words: to sum two vectors we only have to sum, respectively, the components i and the components j of each vector.

    For example, the pair of vectors 2i + 2j and - 2i - 2j:

    2i + (-2i) = 0i

    and

    2j + (-2j) = 0j

    Then, the resultant is:

    0i + 0j

    Therefore, the correct option is c.

    If we try with the other options, the resultant will not be 0i + 0j:

    a. 0i + 0j and 2i - 2j:

    2i-2j

    b. 2i + 2j and 2i - 2j:

    4i-0j

    d. 2i + 0j and 0i + 2j:

    2i+2j
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