How do you normalize # (i -2j + 3k) #?

1 Answer
Dec 28, 2017

Answer:

#1/sqrt14(hati-2hatj+3hatk)#

Explanation:

to normalize a vector means to change it to a unit vector, that is ensure that its magnitude is #=1#

#hatveca=(veca)/|veca|#

we ahve

#veca=hati-2hatj+3hatk#

#|a|14#

#=sqrt(1^2+2^2+3^2)=sqrt14#

#hatveca=1/sqrt14(hati-2hatj+3hatk)#