Consider the lines L1 through the points A(1, 0, −1) and B(−1, 1, 0) and the line L2 through the points C(3, 1, −1) and D(4, 5, −2). Show that the two lines do not intersect each other and find the distance between them.
Added by Justin J.
Step 1
L1 goes through A(1,0,-1) and B(-1,1,0), so v = B - A = (-1-1, 1-0, 0-(-1)) = (-2, 1, 1). L2 goes through C(3,1,-1) and D(4,5,-2), so w = D - C = (4-3, 5-1, -2-(-1)) = (1, 4, -1). Show more…
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