How do you normalize # <0,8,5>#?

Question

1253 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-13T17:46:09

#bb(hat(a))=[(0,(8sqrt(89))/89,(5sqrt(89))/89)]#

A unit vector in the direction of some vector #bba# is given by:

#bb(hat(a))=(bba)/||bba||#

Let:

#bba=[(0,8,5)]#

#||bba||=sqrt((0)^2+(8)^2+(5)^2)=sqrt(89)#

#:.#

#bb(hat(a))=[(0,(8sqrt(89))/89,(5sqrt(89))/89)]#