Determine whether the given lines are the same. x = -7 + 4t, y = 1 + t, z = -2 - 7t and x = -3 + 8t, y = 2 + 2t, z = -9 - 14t
A) The lines are the same.
B) The lines are not the same.

Question

Quizplus · Accepted Answer

The lines are the same because they can be represented by parametric equations where the coefficients of $t$ in the second line are exactly double those in the first line, and the constant terms in the second line can be obtained by setting $t$ to a specific value in the first line's equations, indicating they are part of the same line in three-dimensional space.

Determine Whether the Given Lines Are the Same