Determine whether the given lines are the same. x = 2 - 9t, y = -9 + 3t, z = 4 + 5t and x = 2 + 6t, y = -9 + 5t, z = 4 + 7t

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Quizplus · Accepted Answer

The lines are not the same because the direction vectors of the two lines are not proportional. The direction vector of the first line is (-9,3,5) and the direction vector of the second line is (6,5,7). Since these two vectors are not scalar multiples of each other, the lines cannot be identical.

Determine Whether the Given Lines Are the Same