Posición relativa del plano π y la recta r en función del parámetro Geometría en el espacio

Solved exercise for the PAU 2 baccalaureate selectivity exam on relative position with parameters between a straight line and a plane R3 GEOMETRY 2 PLAYLIST HIGH SCHOOL    • Geometría en el espacio 🚀 Vectores - Espac...      • 🔝 MATEMÁTICAS 2º BACHILLERATO CURSO 2025 26 🚀      • 🔥 QUÍMICA 2º BACHILLERATO CURSO  25-26      • 🔥 QUÍMICA 2º BACHILLERATO CURSO  25-26      • TERMODINÁMICA química 2 Bachillerato Termo...   Problem statement Consider the plane π: 3x - y - 2z = 5 and the straight line r: x - a = y - 3 + a = z. a) (1.25 points) Relative position of the plane π and the straight line r as a function of the parameter a For a = 0 calculate: b) (0.75 points) Distance from the straight line r to the plane π c) (0.5 points) The equation of the plane that contains the straight line r and is parallel to the plane π 00:00 Introduction 00:18 Relative position between a straight line and a plane 09:00 Distance between a straight line and a plane 14:22 Equation of the plane that contains the straight line and is parallel to another