{"id":"cross-product-for-collinearity","text":"Collinearity checks use the cross product (`(x2-x1)*(y3-y1) - (y2-y1)*(x3-x1) != 0`) instead of slope comparison, avoiding division-by-zero edge cases and floating-point precision issues.","truth_value":"IN","source":"entries/2026/06/06/valid-boomerang-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"cross-product-for-collinearity","truth_value":"IN","reason":"premise"}]}}