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Find Both the Parametric and the Vector Equation of the Line

Question 74

Multiple Choice

Find both the parametric and the vector equation of the line.
-The line through (4, -1, 3) that is perpendicular to both u = (2, 0, -1) and the y-axis.


A) x = 2 - 4t, y = -t, z = -1 + 3t; r = (2, 0, -1) + t(-4, -1, 3)
B) x = 4 - t, y = -t, z = 3 + 2t; r = (4, -1, 3) + t(-1, 0, 2)
C) x = 4 - 2t, y = -1, z = 3 - t; r = (4, -1, 3) + t(-2, 0, -1)
D) x = 4 - t, y = -1, z = 3 + 2t; r = (4, -1, 3) + t(-1, 0, 2)

Correct Answer:

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