# How do you normalize (- 7 i -j +25k)?

Feb 20, 2016

$\left(- 7 \cdot \sqrt{675} i - \sqrt{675} j + 25 \cdot \sqrt{675} k\right)$

#### Explanation:

"step 1: find the magnitude of the vector a=(-7i-j+25k")
$| | v | | = \sqrt{{\left(- 7\right)}^{2} + {\left(- 1\right)}^{2} + {25}^{2}}$
$| | v | | = \sqrt{49 + 1 + 625} = \sqrt{675}$
$s t e p 2 :$
$\sqrt{675} \cdot \vec{a}$
$\sqrt{675} \left(- 7 i - j + 25 k\right)$
$\left(- 7 \cdot \sqrt{675} i - \sqrt{675} j + 25 \cdot \sqrt{675} k\right)$