Suma de vectores en el espacio

[i]El objetivo de la siguiente actividad es construir la noción geométrica de la suma de dos vectores en el espacio.[/i]
Suma geométrica de vectores
Cuando tenemos dos [b]vectores de posición[/b], [math]\vec{a}=\left(x_{1,}y_1\right)[/math] y [math]\vec{b}=\left(x_2,y_2\right)[/math], sumarlos [b]geométricamente[/b] implica la suma de los desplazamientos de cada vector en su respectivo eje. Lo que se puede ver como una traslación paralela del vector [math]\vec{a}[/math] al extremo final del vector [math]\vec{b}[/math] y "unir" el extremo final del vector [math]\vec{a}[/math] con el origen de coordenadas (ver imagen).[br]Observa que el vector resultante sigue siendo un vector de posición.[br][img]data:image/png;base64,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[/img]
Suma algebraica de vectores en el espacio
[b]Algebraicamente[/b] lo que sucede es que la primera componente del [b]vector suma [/b]es la suma de los desplazamientos en el eje [math]x[/math], es decir [math]x_1+x_2[/math], y como segunda componente la suma de los desplazamientos en el eje [math]y[/math], es decir [math]y_1+y_2[/math]. De manera que la suma algebraica entre dos vectores se expresa como:[center][math]\vec{a}+\vec{b}=\left(x_1,y_1\right)+\left(x_2,y_2\right)=\left(x_1+x_2,y_1+y_2\right)[/math][br][/center]
[b][img]https://cdn.geogebra.org/resource/x3brvgdu/Ty0xgjRjMTuJ1T7C/material-x3brvgdu.png[/img][br]Instrucciones. [/b]En el siguiente Applet inserta las coordenadas de los puntos [math]P[/math] y [math]Q[/math]. Automáticamente se visualizará la suma de los vectores de posición asociados a [math]P[/math] y [math]Q[/math].
herramienta para la imagen
¿En qué consiste [b]geométricamente[/b] la suma de vectores?
¿En qué consiste [b]algebraicamente [/b]la suma de vectores?
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Information: Suma de vectores en el espacio