Parry Cole
10/14/2023 · High School
Consider the line through the points (−4, −6, 1) and (−2, 0, −3). Write a direction vector v1 for this line. v1 = Consider the line through the points (12, 23, 6) and (7, 8, 16). Write a direction vector v2 for this line. v2 = Are v1 and v2 parallel? Yes No Is the line through (−4, −6, 1) and (−2, 0, −3) parallel to the line through (12, 23, 6) and (7, 8, 16)? Yes
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v1 = <2, 6, -4>
v2 = <-5, -15, 10>
To determine if v1 and v2 are parallel, we can check if one is a scalar multiple of the other. In this case, v2 = -2.5v1, so they are parallel.
Therefore, the line through (-4, -6, 1) and (-2, 0, -3) is parallel to the line through (12, 23, 6) and (7, 8, 16).
Quick Answer
Parallel
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