Bowen Dunn
05/29/2024 · Primary School
Dados los vectores \( \vec{u}=(5,-1,2) \) y \( \vec{v}=(-1,2,-2) \) a) Calcular el ángulo entre ambos vectores. b) ¿Cuánto tiene que valer \( k \) para que el vector \( \vec{w}=(7,2, k) \) sea perpendicular al vector \( \vec{u} \) ?
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a) El ángulo entre los vectores \( \vec{u} \) y \( \vec{v} \) es \( \arccos\left(\frac{-11}{3\sqrt{30}}\right) \).
b) \( k \) debe ser \( -\frac{33}{2} \) para que \( \vec{w} \) sea perpendicular a \( \vec{u} \).
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