How do you normalize <0, 1, 3>?
1 Answer
Aug 7, 2017
Explanation:
Normalization of a vector is the process of finding a unit vector in the same direction of that vector (with magnitude (or "norm")
ulbar(|stackrel(" ")(" "hatv = (vecv)/(||vecv||)" ")|)
where
hatv denotes the unit vector
||vecv|| is the magnitude of vectorvecv
The magnitude of
||vecv|| = sqrt(0^2 + 1^2 + 3^2) = color(red)(ul(sqrt10
Thus, we have
hatv = (< 0,1,3 >)/(color(red)(sqrt10)) = color(blue)(ulbar(|stackrel(" ")(" "< 0, 1/(sqrt10), 3/(sqrt10) >" ")|)
