Math Problem Statement
空間内の三点A(1,2,0),B(0,4,1),C(2,2,-1)を通る平面をπとする。 平面π上に点D(a,1,4)があるときのaの値を求めよ。また原点O(0,0,0)から平面πに降ろした垂線の足をPとするときベクトルOPの成分を求めよ
Solution
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Math Problem Analysis
Mathematical Concepts
Vectors
Plane geometry
Linear equations
Formulas
Vector cross product
Plane equation from points
Theorems
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Suitable Grade Level
Advanced High School
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