13.3 Matematika ( Sertakan cara )

13.3 Matematika ( Sertakan cara )

Penjelasan dengan langkah-langkah:

Bagian a

$bar{a}=bar{u}+bar{v}+bar{w}$

$bar{a}=left[begin{array}{c}3\-1end{array}right] +left[begin{array}{c}1\4end{array}right] +left[begin{array}{c}-7\-7end{array}right]$

$bar{a}=left[begin{array}{c}3+1-7\-1+4-7end{array}right]$

$boxed{bar{a}=left[begin{array}{c}-3\-4end{array}right]}$

Bagian b

$bar{a}_{text{satuan}}=frac{1}{|bar{a}|}bar{a}$

$bar{a}_{text{satuan}}=frac{1}{sqrt{(-3)^2+(-4)^2}}left[begin{array}{c}-3\-4end{array}right]$

$bar{a}_{text{satuan}}=frac{1}{sqrt{9+16}}left[begin{array}{c}-3\-4end{array}right]$

$bar{a}_{text{satuan}}=frac{1}{sqrt{25}}left[begin{array}{c}-3\-4end{array}right]$

$bar{a}_{text{satuan}}=frac{1}{5}left[begin{array}{c}-3\-4end{array}right]$

$boxed{bar{a}_{text{satuan}}=left[begin{array}{c}-frac{3}{5}\-frac{4}{5}end{array}right] }$

Semoga bermanfaat!!!

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