📘 analytic geometry
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Real M Value 387Ae0
1. **بيان المسألة:**
حدد العدد الحقيقي $m$ لكي تكون النقاط $A(1, m^2)$ و $B(1-5m, 1)$ و $C(5, 1)$ متزنة (أي تقع على نفس المستقيم).
Line Plane Intersection 71743D
1. **Problem statement:**
We have a line $L$ from part 2 (assumed parametric form $x=1+t$, $y=2-t$, $z=3+2t$) and a plane $P$ with equation $x + 3y - z = -4$.
Plane Line Geometry
1. **Problem statement:** Given points $A_1(3,5,4)$, $A_2(5,8,3)$, $A_3(1,2,-2)$, and $A_4(-1,0,2)$, find:
a) Equation of plane $A_1A_2A_3$.