Math Problem Statement
Точки M и N – середины ребер CC1 и BC параллелепипеда ABCDA1B1C1D1. Укажите верное утверждение.
Выберите один ответ: BC1→ ↑↑ CB1→
NM→ ↑↓ BC1→
BC→ = A1D1→
MN→ = AD1→
Solution
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Math Problem Analysis
Mathematical Concepts
Vectors
Parallelepiped Geometry
Symmetry
Formulas
Midpoint formula for vectors: M = (P1 + P2)/2
Vector parallelism: V1 ⟂ V2 if their cross product is zero
Theorems
Vectors are parallel if they have the same direction or if one is a scalar multiple of the other
Properties of vectors in a parallelepiped: opposite edges are parallel
Suitable Grade Level
Grades 10-12
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