Problem 44253. Compute the intersect point of line and plan

Solution 1984048

Submitted on 21 Oct 2019 by Yunli Shao

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Test	Status	Code Input and Output
1	Pass	A = [1, 2, 3]; B = [-4, -5, -6]; D = [8 1 6]; E = [3 5 7]; F = [4 9 2]; O = [3.1429 5.0000 6.8571] assert(norm(intersectOfLineAndPlan(A,B,D,E,F)-O)<1e-4) O = 3.1429 5.0000 6.8571
2	Pass	A = [ -3.11, 8.35, 3.24]; B = [ 5.61, -4.62, -1.68]; D = [ 3.51, 5.31, 6.84]; E = [ -9.87, -6.23, 6.66]; F = [ 2.04, -4.25, -4.87]; O = [2.683498, -0.267164, -0.028809]; assert(norm(intersectOfLineAndPlan(A,B,D,E,F)-O)<1e-4)
3	Pass	A = [ -2.26, -8.18, 2.27]; B = [ 8.32, 1.52, 1.64]; D = [ -9.98, 3.67, 0.81]; E = [ -0.75, 0.93, 7.40]; F = [ -1.51, -1.49, -4.70]; O = [3.945810, -2.490363, 1.900467]; assert(norm(intersectOfLineAndPlan(A,B,D,E,F)-O)<1e-4)
4	Pass	A = [ -0.78, 2.89, -3.64]; B = [ 5.40, 2.95, -7.62]; D = [ -3.55, 3.58, 8.80]; E = [ 5.69, 2.72, 2.91]; F = [ -0.57, 8.90, -0.41]; O = [87.248536, 3.744646, -60.331517]; assert(norm(intersectOfLineAndPlan(A,B,D,E,F)-O)<1e-4)
5	Pass	A = [ -9.28, -5.82, 2.79]; B = [ -6.48, 4.19, 0.89]; D = [ 4.44, -5.28, 2.95]; E = [ -0.53, -7.61, 0.88]; F = [ -6.95, 2.15, 4.42]; O = [-8.249071, -2.134430, 2.090441]; assert(norm(intersectOfLineAndPlan(A,B,D,E,F)-O)<1e-4)
6	Pass	A = [ -3.18, -1.00, 0.45]; B = [ 2.15, -0.83, 9.87]; D = [ -6.17, 3.24, -5.63]; E = [ 4.77, 5.41, -7.88]; F = [ -5.14, -3.00, -7.81]; O = [-7.217344, -1.128771, -6.685419]; assert(norm(intersectOfLineAndPlan(A,B,D,E,F)-O)<1e-4)