randRangeNonZero( -9, 9 ) randRangeNonZero( -9, 9 ) randRangeNonZero( -9, 9 ) randRangeNonZero( -9, 9 )

¿Cuál es \vec a + \vec b?

\begin{align*} \vec a &= AX \hat\imath + AY \hat\jmath \\ \vec b &= BX \hat\imath + BY \hat\jmath \end{align*}

graphInit({range:10,scale:20,tickStep:1,labelStep:1,unityLabels:!1,labelFormat:function(e){return"\\small{"+e+"}"},axisArrows:"<->"}),line([0,0],[AX,AY],{stroke:"#6495ed",arrows:"->"}),line([0,0],[BX,BY],{stroke:"#28ae7b",arrows:"->"});var AF=1+.8/sqrt(AX*AX+AY*AY);label([AF*AX,AF*AY],"\\vec a",{color:"#6495ed"});var BF=1+.8/sqrt(BX*BX+BY*BY);label([BF*BX,BF*BY],"\\vec b",{color:"#28ae7b"})

AX + BX \hat\imath + {}AY + BY \hat\jmath

Suma las componentes \hat\imath y \hat\jmath por separado.

\vec a + \vec b = (AX + BX) \hat\imath + (AY + BY) \hat\jmath

line([BX,BY],[BX+AX,BY+AY],{stroke:"#6495ed",arrows:"->"})

\hphantom{\vec a + \vec b} = AX + BX\hat\imath + AY + BY\hat\jmath

line([0,0],[BX+AX,BY+AY],{stroke:"#ffa500",arrows:"->"})