Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Plane Geometry
Line of Intersection
Cross Product
System of Equations
Formulas
Plane equation: ax + by + cz = d
Cross product of vectors: (a, b, c) × (d, e, f)
System of equations: x + 2y + 3z = 1 and 2x - y + z = -3
Theorems
Cross product of normal vectors gives the direction of the line of intersection
Equation of a plane given a point and direction
Suitable Grade Level
Grades 10-12
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