Math Problem Statement
Find the point at which the given lines intersect. r = (2, 3, 0) + t(3, −3, 3) r = (5, 0, 3) + s(−3, 3, 0)
Find an equation of the plane that contains these lines.
Solution
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Math Problem Analysis
Mathematical Concepts
Parametric Equations
Vector Algebra
Plane Geometry
Formulas
Equation of a line in parametric form: r = r0 + t*v
Cross product: v1 × v2
Equation of a plane: Ax + By + Cz = D
Theorems
Intersection of lines theorem
Cross product properties for perpendicular vectors
Suitable Grade Level
Undergraduate or Advanced High School