Задача 49487 упростить векторы KM+DF+AC+FK+CD+FA ...

vurinza

2020-05-06 19:08:13

упростить векторы KM+DF+AC+FK+CD+FA

sova

2020-05-06 19:31:53

★

vector{AB}+vector{BC}=vector{AC}, поэтому

vector{AC}+vector{CD}=vector{AD}

vector{AC}+vector{CD}+vector{DF}=vector{AD}+vector{DF}=vector{AF}

vector{AF}+vector{FA}=0


vector{AC}+vector{CD}+vector{DF}+vector{FA}=vector{AF}+vector{FA}=0


vector{KM}+[b]vector{DF}[/b]+[b]vector{AC}[/b]+vector{FK}+[b]vector{CD}[/b]+vector{FА}

=vector{KM}+( (vector{AC}+vector{CD})+vector{DF})+vector{FА}+vector{FK}=

=vector{KM}+vector{FK}=vector{FK}+vector{KM}=vector{FM}