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# Find a unit vector in the direction of $\overrightarrow a = 3\hat i - 2\hat j + 6\hat k$

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Toolbox:
• Unit vector in the direction of $\overrightarrow {a}$ is $\large\frac{ \overrightarrow {a}}{|\overrightarrow {a}|}$
$\overrightarrow a=3\hat i-2\hat j+6\hat k$
Unit vector in the direction of $\overrightarrow {a}$ is $\large\frac{ \overrightarrow {a}}{|\overrightarrow {a}|}$
$\mid \overrightarrow a\mid =\sqrt{3^2+(-2)^2+(6)^2}$
$\quad\quad=\sqrt{9+4+36}$
$\quad\quad=\sqrt{49}$
$\quad\quad=7$
Step 2:
Unit vector $\hat n=\large\frac{1}{7}$$(3\hat i-2\hat j+6\hat k)$
answered Sep 26, 2013