ГДЗ по геометрии 7 класс Атанасян Задание 764

\[\boxed{\mathbf{764.ОК\ ГДЗ - домашка\ на}\ 5}\]

\[\textbf{а)}\ \left( \overrightarrow{\text{AB}} + \overrightarrow{\text{BC}} - \overrightarrow{\text{MC}} \right) + \left( \overrightarrow{\text{MD}} - \overrightarrow{\text{KD}} \right) =\]

\[= \left( \overrightarrow{\text{AB}} + \overrightarrow{\text{BC}} + \overrightarrow{\text{CM}} \right) + \left( \overrightarrow{\text{MD}} + \overrightarrow{\text{DK}} \right) =\]

\[= \overrightarrow{\text{AM}} + \overrightarrow{\text{MK}} = \overrightarrow{\text{AK}}.\]

\[\textbf{б)}\ \left( \overrightarrow{\text{CB}} + \overrightarrow{\text{AC}} + \overrightarrow{\text{BD}} \right) - \left( \overrightarrow{\text{MK}} + \overrightarrow{\text{KD}} \right) =\]

\[= \left( \overrightarrow{\text{AC}} + \overrightarrow{\text{CB}} + \overrightarrow{\text{BD}} \right) - \overrightarrow{\text{MD}} =\]

\[= \overrightarrow{\text{AD}} + \overrightarrow{\text{DM}} = \overrightarrow{\text{AM}}.\]