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Classify the relationship between the lines L1:(1,2,3)+t (2,4,6)L_1: \bigl(1,2,3\bigr)+t\,(2,4,6)L1:(1,2,3)+t(2,4,6) and L2:(0,1,0)+s (1,2,3)L_2: \bigl(0,1,0\bigr)+s\,(1,2,3)L2:(0,1,0)+s(1,2,3).
Classify the relationship between the lines L1:(2,1,0)+t (4,2,0)L_1: \bigl(2,1,0\bigr)+t\,(4,2,0)L1:(2,1,0)+t(4,2,0) and L2:(1,3,5)+s (2,1,0)L_2: \bigl(1,3,5\bigr)+s\,(2,1,0)L2:(1,3,5)+s(2,1,0).
Classify the relationship between the lines L1:(1,1,1)+t (3,6,9)L_1: \bigl(1,1,1\bigr)+t\,(3,6,9)L1:(1,1,1)+t(3,6,9) and L2:(4,7,10)+s (1,2,3)L_2: \bigl(4,7,10\bigr)+s\,(1,2,3)L2:(4,7,10)+s(1,2,3).
Classify the relationship between the lines L1:(2,−1,3)+t (4,2,−6)L_1: \bigl(2,-1,3\bigr)+t\,(4,2,-6)L1:(2,−1,3)+t(4,2,−6) and L2:(6,1,−3)+s (2,1,−3)L_2: \bigl(6,1,-3\bigr)+s\,(2,1,-3)L2:(6,1,−3)+s(2,1,−3).
Classify the relationship between the lines L1:(0,0,0)+t (1,1,0)L_1: \bigl(0,0,0\bigr)+t\,(1,1,0)L1:(0,0,0)+t(1,1,0) and L2:(0,1,1)+s (1,0,1)L_2: \bigl(0,1,1\bigr)+s\,(1,0,1)L2:(0,1,1)+s(1,0,1).
Classify the relationship between the lines L1:(1,2,3)+t (1,0,1)L_1: \bigl(1,2,3\bigr)+t\,(1,0,1)L1:(1,2,3)+t(1,0,1) and L2:(2,2,4)+s (0,1,−1)L_2: \bigl(2,2,4\bigr)+s\,(0,1,-1)L2:(2,2,4)+s(0,1,−1).
Classify the relationship between the lines L1:(1,0,1)+t (2,3,4)L_1: \bigl(1,0,1\bigr)+t\,(2,3,4)L1:(1,0,1)+t(2,3,4) and L2:(2,5,9)+s (4,6,8)L_2: \bigl(2,5,9\bigr)+s\,(4,6,8)L2:(2,5,9)+s(4,6,8).
Classify the relationship between the lines L1:(0,1,2)+t (3,−1,2)L_1: \bigl(0,1,2\bigr)+t\,(3,-1,2)L1:(0,1,2)+t(3,−1,2) and L2:(6,−1,6)+s (3,−1,2)L_2: \bigl(6,-1,6\bigr)+s\,(3,-1,2)L2:(6,−1,6)+s(3,−1,2).
Classify the relationship between the lines L1(0,0,0)+t (1,1,1)L_1\bigl(0,0,0\bigr)+t\,(1,1,1)L1(0,0,0)+t(1,1,1) and L2:(1,2,3)+s (1,2,4)L_2: (1,2,3\bigr)+s\,(1,2,4)L2:(1,2,3)+s(1,2,4).
Classify the relationship between the lines L1:(1,1,1)+t (2,−1,3)L_1: \bigl(1,1,1\bigr)+t\,(2,-1,3)L1:(1,1,1)+t(2,−1,3) and L2:(3,0,4)+s (−1,2,−2)L_2: \bigl(3,0,4\bigr)+s\,(-1,2,-2)L2:(3,0,4)+s(−1,2,−2).
Classify the relationship between the lines L1:(1,1,1)+t (1,2,3)L_1: \bigl(1,1,1\bigr)+t\,(1,2,3)L1:(1,1,1)+t(1,2,3) and L2:(5,0,3)+s (4,−1,2)L_2: \bigl(5,0,3\bigr)+s\,(4,-1,2)L2:(5,0,3)+s(4,−1,2).
Classify the relationship between the lines L1:(3,0,1)+t (1,1,2)L_1: \bigl(3,0,1\bigr)+t\,(1,1,2)L1:(3,0,1)+t(1,1,2) and L2:(1,2,3)+s (2,−1,1)L_2: \bigl(1,2,3\bigr)+s\,(2,-1,1)L2:(1,2,3)+s(2,−1,1).
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Question Type 1: Finding the point of intersection for two lines
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Question Type 3: Finding the value of parameters for which the two lines would be under a specific classification