Math Problem Statement

Due vettori sono tali che la loro somma forma un angolo di 45° con il semiasse positivo delle x. Quale delle seguenti affermazioni è corretta?

A. I due vettori possono essere ortogonali tra loro B. I due vettori possono avere modulo uguale C. I due vettori possono essere l'uno opposto all'altro D. Tutte le affermazioni precedenti

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Addition
Trigonometry
Vector Geometry

Formulas

Cosine rule for vector angles: cos(θ) = (v1 · v2) / (|v1| * |v2|)
Magnitude of a vector: |v| = sqrt(x^2 + y^2)

Theorems

Pythagorean Theorem in vector geometry
Angle between vectors theorem

Suitable Grade Level

Grades 10-12

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