d. [tex]\tt \binom{14}{3} \\ [/tex]
Penjelasan dengan langkah-langkah:
Dik : vektor [tex]\tt\overrightarrow{a}[/tex] = 2i + 5j
vektor [tex]\tt\overrightarrow{b}[/tex] = 4i - 3j
vektor [tex]\tt\overrightarrow{c}[/tex] = 6i - 4j
Dit : [tex]\tt(2\overrightarrow{a} + \overrightarrow{c}) + \overrightarrow{b} = ....?[/tex]
Peny.
[tex]\tt(2\overrightarrow{a} + \overrightarrow{c}) + \overrightarrow{b} =(2 \binom{2}{5} + \binom{6 }{ - 4} ) + \binom{4}{ - 3} \\ \\ \tt = \binom{4}{10} + \binom{6}{ - 4} + \binom{4}{ - 3} \\ \\\tt = \binom{4 + 6 + 4}{10 - 4 - 3} \\ \\ \tt = \binom{14}{3} \Rightarrow(opsi \: d)[/tex]