Number and Algebra
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Calculus
Find the point of intersection of the lines L1:(1,0,2)+t(2,1,−1),L2:(1,0,−1)+u(1,0,1).L_1: (1,0,2)+t(2,1,-1), \quad L_2: (1,0,-1)+u(1,0,1).L1:(1,0,2)+t(2,1,−1),L2:(1,0,−1)+u(1,0,1).
Find the intersection point of the lines L1:(0,0,0)+t(1,2,3),L2:(3,4,5)+u(−2,−3,−4).L_1: (0,0,0)+t(1,2,3), \quad L_2: (3,4,5)+u(-2,-3,-4).L1:(0,0,0)+t(1,2,3),L2:(3,4,5)+u(−2,−3,−4).
Determine the point of intersection of L1:(2,1,0)+t(3,−1,2),L2:(5,−2,4.5)+u(1,1,−1).L_1: (2,1,0)+t(3,-1,2),L_2: (5,-2,4.5)+u(1,1,-1).L1:(2,1,0)+t(3,−1,2),L2:(5,−2,4.5)+u(1,1,−1).
Find where the lines L1:(0,1,3)+t(1,2,−1),L2:(4,4,2)+u(2,−1,1)L_1: (0,1,3)+t(1,2,-1), L_2: (4,4,2)+u(2,-1,1)L1:(0,1,3)+t(1,2,−1),L2:(4,4,2)+u(2,−1,1) intersect.
Calculate the intersection point of L1:(−1,0,4)+t(2,1,3),L2:(−1,−1,9)+u(1,1,−1).L_1: (-1,0,4)+t(2,1,3), \quad L_2: (-1,-1,9)+u(1,1,-1).L1:(−1,0,4)+t(2,1,3),L2:(−1,−1,9)+u(1,1,−1).
Find where the lines L1:(−2,1,3)+t(4,−3,2),L2:(4,−7,8)+u(−2,5,−3)L_1: (-2,1,3)+t(4,-3,2),L_2: (4,-7,8)+u(-2,5,-3)L1:(−2,1,3)+t(4,−3,2),L2:(4,−7,8)+u(−2,5,−3) intersect.
Determine the intersection of the lines L1:(2,3,0)+t(3,−2,1),L2:(12,−7,1)+u(−1,4,2).L_1: (2,3,0)+t(3,-2,1),L_2: (12,-7,1)+u(-1,4,2).L1:(2,3,0)+t(3,−2,1),L2:(12,−7,1)+u(−1,4,2).
Determine the intersection of L1:(1,1,1)+t(5,2,−1),L2:(2,17,−7)+u(3,−4,2).L_1: (1,1,1)+t(5,2,-1),L_2: (2,17,-7)+u(3,-4,2).L1:(1,1,1)+t(5,2,−1),L2:(2,17,−7)+u(3,−4,2).
Find the point where L1:(0,0,1)+t(1,2,3),L2:(2.5,3.5,6)+u(2,1,1)L_1: (0,0,1)+t(1,2,3), \quad L_2: (2.5,3.5,6)+u(2,1,1)L1:(0,0,1)+t(1,2,3),L2:(2.5,3.5,6)+u(2,1,1) meet.
Calculate the intersection point of L1:(1,2,3)+t(0.5,1,−1),L2:(1.5,6.75,−4)+u(1,−0.5,2).L_1: (1,2,3)+t(0.5,1,-1), L_2: (1.5,6.75,-4)+u(1,-0.5,2).L1:(1,2,3)+t(0.5,1,−1),L2:(1.5,6.75,−4)+u(1,−0.5,2).
Find the point of intersection of L1:(0,1,2)+t(2,3,4),L2:(1.25,1.25,4.5)+u(−1,5,−2).L_1: (0,1,2)+t(2,3,4), \quad L_2: (1.25,1.25,4.5)+u(-1,5,-2).L1:(0,1,2)+t(2,3,4),L2:(1.25,1.25,4.5)+u(−1,5,−2).
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Question Type 2: Given 2 vectors, classifying what type of lines they are