Задача 76278 ...

65f22233799ae03638d18e8f

3/13/2024 10:01:59 PM

Дан параллелепипед ABCDA1B1C1D1; AB=a AD=b,AA1=c разложите вектор AM по трем векторам a b и c если M=D1C DC1​

5f3ea7e3faf909182968ddd9

3/14/2024 8:54:23 AM

★

vector{AM}=vector{AD}+vector{DM}

vector{AD}=vector{b}
vector{DC_(1)}=vector{DC}+vector{DD_(1)}

vector{DC}=vector{AB}=vector{a}
vector{DD_(1)}=vector{AA_(1)}=vector{c} ⇒ vector{DC_(1)}=vector{a}+vector{c}

vector{DM}=(1/2)vector{DC_(1)}=(1/2)vector{a}+(1/2)vector{c}


vector{AM}=vector{b}+(1/2)vector{a}+(1/2)vector{c}