Give an example of each of the following (there may be only one!).
(a) a vector that points in the direction opposite a = i + 2j + 3k
(b) a vector with tail at the point (−8, 2, 7) and head at the point (10, 12, 17)
(c) a unit vector parallel to a = 4i + 2j − k
(d) a vector of magnitude 13 parallel to a = 5i + 2k
(e) a unit vector that in standard position forms an angle of 60° with both the x- and y-axes
(f) two vectors that in standard position form a right angle between them
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