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SMK Teknologi dan Rekayasa

Soal 45 Operasi Vektor


Vektor\ \bar{a}=2\bar{i}-3\tilde{j}+\tilde{k}\ dan\ \bar{b}=2\bar{i}-4\bar{k}.\ Panjang\ vektor\ 2\bar{a}-\bar{b}=....\\a.\ \ 2\sqrt{2}\ \ \ \ \ \ \ \ \ \ b.\ \ 2\sqrt{11}\ \ \ \ \ \ \ \ \ \ c.\ \ 5\sqrt{2}\ \ \ \ \ \ \ \ \ \ d.\ \ \sqrt{76}\ \ \ \ \ \ \ \ \ \ e.\ \ \sqrt{86}
Jawaban: d

\frac{\begin{matrix} \ \ \ \ 2\bar{a}=4\bar{i}-6\bar{j}+2\bar{k}\\ \ \ \ \ \ \ \bar{b}=2\bar{i}+0\bar{j}-4\bar{k} \end{matrix}}{}\ -\\2\bar{a}-\bar{b}=2\bar{i}-6\bar{j}+6\bar{k}
Panjang\ vektor\ 2\bar{a}-\bar{b}\ adalah:
\begin{array}{rcl}\begin{vmatrix} 2\bar{a}-\bar{b} \end{vmatrix}&=&\sqrt{2^{2}+(-6)^{2}+6^{2}}\\\\&=&\sqrt{4+36+36}\\\\&=&\sqrt{76}\end{array}

About Kalakay

Guru Matematika SMK

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One thought on “Soal 45 Operasi Vektor

  1. trima ksh…
    soalnya sangat membantu,,,

    Posted by acha | 8 Oktober 2012, 7:08 PM

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