How do you find unit vector of $a=(1, 2, -2)$ in direction of $a$ ?

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Answer 1 · 2016-08-06T08:27:21

$a/(|| a ||) = (1/3, 2/3, -2/3)$

Divide by the length of the vector $a$ .

$|| a || = sqrt(1^2+2^2+(-2)^2) = sqrt(1+4+4) = sqrt(9) = 3$

So the unit vector is:

$a/(|| a ||) = 1/3(1, 2, -2) = (1/3, 2/3, -2/3)$

How do you find unit vector of a=(1, 2, -2)a=(1, 2, -2) in direction of aa?