cho 3 vector \(\overrightarrow{a}\left(1;2;2\right)\), \(\overrightarrow{b}\left(2;0;-1\right)\), \(\overrightarrow{c}\left(5;1;3\right)\)
1. \(\overrightarrow{a}.\overrightarrow{b}\)
2. \(\overrightarrow{b}.\overrightarrow{c}\)
3. \(\left[\overrightarrow{a},\overrightarrow{c}\right]\)
4. \(\left[\overrightarrow{b},\overrightarrow{c}\right]\)
5. \(\left|\overrightarrow{a}\right|\)
\(\overrightarrow{a}.\overrightarrow{b}=1.2+2.0-2.1=0\)
\(\overrightarrow{b}.\overrightarrow{c}=2.5+0.1-1.3=7\)
\(\left[\overrightarrow{a};\overrightarrow{c}\right]=\left(4;7;-9\right)\)
\(\left[\overrightarrow{b};\overrightarrow{c}\right]=\left(1;-11;2\right)\)
\(\left|\overrightarrow{a}\right|=\sqrt{1^2+2^2+2^2}=3\)