What is the magnitude of the resultant of two vectors A and B, if A = 8.0 units north and B = 4.5 units east?

1 Answer

#9.179\ text{units}#

Explanation:

The given vectors #A=8# & #B=4.5# acts in north & east respectively i.e. they act in two mutually perpendicular directions hence magnitude of their resultant vector is given as

#\sqrt{A^2+B^2}#

#=\sqrt{8^2+4.5^2}#

#=9.179\ text{units}#