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Show that the line containing two points is parallel to L?
L is (x-1)/3=(y-2)/12, z=5. The points are (5,7,9) and (6,11,9). I'm assuming that you create a vector for the points so the vector from point a to b is (1,4,0). What do I do after that?
1 Answer
- ?Lv 68 years agoFavorite Answer
The next step is to set up parametric equations for the line in 3d space:
(x-1)/3 = t
(y-2)/12 = t
z = 5
solving for x, y, and z:
x = 3t + 1
y = 12t + 2
z = 0t + 5
so the vector representing this line is <3, 12, 0>. Since this is a multiple of <1, 4, 0>, the two vectors are parallel, which means the two lines are parallel.
Hope this helps.
