На основе упражнения 115 (стр. 54).

Сумма векторов

Используя правило треугольника, найдите сумму векторов:

1. \(\overrightarrow{PM}\) и \(\overrightarrow{MT}\) ;
2. \(\overrightarrow{CH}\) и \(\overrightarrow{HC}\) ;
3. \(\overrightarrow{AB}\) и \(\overrightarrow{0}\) ;
4. \(\overrightarrow{0}\) и \(\overrightarrow{CE}\) .

Решение:

1

• \(\overrightarrow{MP}\)
• \(\overrightarrow{PT}\)
• \(\overrightarrow{TP}\)
• \(\overrightarrow{0}\)
• \(\overrightarrow{PM}\)
• \(\overrightarrow{MT}\)
• \(\overrightarrow{TM}\)
• \(\overrightarrow{PP}\)

\(\overrightarrow{PM} + \overrightarrow{MT} =\) [ ];

2

• \(\overrightarrow{0}\)
• \(\overrightarrow{CC\_1}\)
• \(\overrightarrow{CC}\)
• \(\overrightarrow{HC}\)
• \(\overrightarrow{CH}\)
• \(\overrightarrow{HH}\)
• \(\overrightarrow{00}\)
• \(\overrightarrow{HH\_0}\)

\(\overrightarrow{CH} + \overrightarrow{HC} =\) [ ] \(=\) [ ];

3

• \(\overrightarrow{AB}\)
• \(\overrightarrow{AB}\)
• \(\overrightarrow{0}\)
• \(\overrightarrow{BB}\)
• \(\overrightarrow{AA}\)
• \(\overrightarrow{AA\_1}\)
• \(\overrightarrow{BB\_1}\)
• \(\overrightarrow{BA}\)

\(\overrightarrow{AB} + \overrightarrow{0} =\) [ ] \(+\) [ ] \(=\) [ ];

4

• \(\overrightarrow{CE}\)
• \(\overrightarrow{CE}\)
• \(\overrightarrow{0}\)
• \(\overrightarrow{CC}\)
• \(\overrightarrow{EE}\)
• \(\overrightarrow{EC}\)
• \(\overrightarrow{EE\_0}\)
• \(\overrightarrow{CC\_1}\)

\(\overrightarrow{0} + \overrightarrow{CE}=\) [ ] \(+\) [ ] \(=\) [ ].