На основе упражнения 131 (стр. 61).

Упрости выражение

1. \(-0,5(12\overrightarrow{a})=\) [ \((0,5\cdot12)\overrightarrow{a}\) | \((-0,5\cdot12)\overrightarrow{a}\) | \((0,5+12)\overrightarrow{a}\) | \((0,5-12)\overrightarrow{a}\) ] \(=\) [ \(6\overrightarrow{a}\) | \(-6\overrightarrow{a}\) | \(12,5\overrightarrow{a}\) | \(-11,5\overrightarrow{a}\) ]
2. \(2,5\overrightarrow{b} -1,7\overrightarrow{b}=\) [ \(-(2,5-1,7)\overrightarrow{b}\) | \(-(2,5+1,7)\overrightarrow{b}\) | \((2,5-1,7)\overrightarrow{b}\) | \((2,5+1,7)\overrightarrow{b}\) ] \(=\) [ \(4,2\overrightarrow{b}\) | \(-4,2\overrightarrow{b}\) | \(0,8\overrightarrow{b}\) | \(-0,8\overrightarrow{b}\) ]
3. \(3(\overrightarrow{c} + \overrightarrow{p}) -5\overrightarrow{p}=\) [ \(3\overrightarrow{c}-3\overrightarrow{p}-5\overrightarrow{q}\) | \(3\overrightarrow{c}+3\overrightarrow{p}-5\overrightarrow{p}\) | \(3\overrightarrow{c}+\overrightarrow{p}-5\overrightarrow{p}\) | \(\overrightarrow{c}+\overrightarrow{p}-5\overrightarrow{p}\) ] \(=\) [ \(\overrightarrow{c}+2\overrightarrow{p}\) | \(3\overrightarrow{c}-2\overrightarrow{p}\) | \(7\overrightarrow{c}-2\overrightarrow{p}\) | \(5\overrightarrow{c}-2\overrightarrow{p}\) ]
4. \(2(5\overrightarrow{p} -3\overrightarrow{q}) -3(3\overrightarrow{p} -2\overrightarrow{q})=\) [ \(10\overrightarrow{p}-6\overrightarrow{q}-9\overrightarrow{p}-6\overrightarrow{q}\) | \(10\overrightarrow{p}-6\overrightarrow{q}-9\overrightarrow{p}+6\overrightarrow{q}\) | \(6\overrightarrow{p}-10\overrightarrow{q}-9\overrightarrow{p}+6\overrightarrow{q}\) | \(10\overrightarrow{p}-10\overrightarrow{q}-9\overrightarrow{p}+6\overrightarrow{q}\) ] \(=\) [ \(\overrightarrow{q}\) | \(\overrightarrow{p}\) | \(-\overrightarrow{p}\) | \(-\overrightarrow{q}\) ]