(a) Write a set of parametric equations for the line in R3 through the point (−1, 7, 3) and parallel to the vector 2i − j + 5k.
(b) Write a set of parametric equations for the line through the points (5,−3, 4) and (0, 1, 9).
(c) Write different (but equally correct) sets of equations for parts (a) and (b). (d) Find the symmetric forms of your answers in (a)–(c).
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