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SMK Teknologi dan Rekayasa

Soal 52 Besar Sudut antara Dua Vektor


Vektor\ \bar{a}=\bar{i}+2\bar{j}+m\bar{j}\ dan\ \bar{b}=2\bar{i}-10\bar{j}+2\bar{k}.\\Jika\ vektor\ \bar{a}\ dan\ \bar{b}\ saling\ tegak\ lurus,\ maka\ nilai\ m\\ adalah\ ....\\a.\ \ 18\ \ \ \ \ \ \ \ \ \ b.\ \ 9\ \ \ \ \ \ \ \ \ \ c.\ \ 6\ \ \ \ \ \ \ \ \ \ d.\ \ 5\ \ \ \ \ \ \ \ \ \ e.\ \ 3
Jawaban: b

Karena\ \bar{a}\perp \bar{b},\ maka:
\begin{array}{rcl}\bar{a}.\bar{b}&=&0\\1.2+2.(-10)+m.2&=&0\\2+(-20)+2m&=&0\\-18+2m&=&0\\2m&=&18\\m&=&9\end{array}

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