1.   Two vectors are opposites if they have ____.
    A. different magnitudes and the same direction B. different magnitudes and opposite directions
    C. the same magnitude and same direction D. the same magnitude and opposite directions
    Hint

  2.   A ship leaving port sails for 100 miles in a direction 40° north of due east. Find the magnitude of the vertical and horizontal components.
    A. about 50 miles; about 87 miles B. about 64 miles; about 77 miles
    C. about 77 miles; about 84 miles D. about 87 miles; about 50 miles
    Hint

  3.   If both the initial and terminal points of a vector are at the origin, the vector is __________.
    A. the zero vector B. negative
    C. linearly independent D. positive
    Hint

  4.   If a vector has its initial point at the origin, it ________.
    A. is in standard position B. has a magnitude of zero
    C. is a scalar D. has no direction
    Hint

  5.   || = 14, || = 9, and . Find ||.
    A. 5 B. 17
    C. 23 D. 126
    Hint



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