How do you normalize $(7 i - j + 2 k)$ $(7 i -j +2k)$ ?

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Answer 1 · 2016-02-15T11:02:11

To normalize a vector we divide each element by the length of the vector.

The resulting vector is $(\frac{7}{\sqrt{54}} i - \frac{1}{\sqrt{54}} j + \frac{2}{\sqrt{54}} k)$ $(7/sqrt54i-1/sqrt54j+2/sqrt54k)$

Find the length of the vector:

$l = \sqrt{7^{2} + {(- 1)}^{2} + 2^{2}} = \sqrt{54}$ $l=sqrt(7^2+(-1)^2+2^2)=sqrt54$

Divide each element of the original vector by $\sqrt{54}$ $sqrt54$ .

How do you normalize (7i−j+2k)(7 i -j +2k)?