Matematika

Pertanyaan

vektor satuan r1= 4i-2j+2k

1 Jawaban

  • [tex]\text{Vektor satuan dari }\vec{r_1}\text{ dituliskan}\\
    \hat{r_1}=\frac{\vec{r_1}}{|\vec{r_1}|}\\
    =\frac{4\hat{i}-2\hat{j}+2\hat{k}}{\sqrt{4^2+(-2)^2+2^2}}\\
    =\frac{4\hat{i}-2\hat{j}+2\hat{k}}{\sqrt{24}}\\
    =\frac{4\hat{i}-2\hat{j}+2\hat{k}}{2\sqrt{6}}\\
    =\frac{4}{2\sqrt{6}}\hat{i}-\frac{2}{2\sqrt{6}}\hat{j}+\frac{2}{2\sqrt{6}}\hat{k}\\
    =\frac{2}{\sqrt{6}}\hat{i}-\frac{1}{\sqrt{6}}\hat{j}+\frac{1}{\sqrt{6}}\hat{k}\\
    [/tex]

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