Soto family is rafting across the river.

Stretch of the river is meter wide and the river is flowing south at a rate of m/sec. \ \

In still water raft travels m/sec.

Draw the diagram for the current situation:

The vectors are and .

Find the component form of  :

Find the magnitude of the vector :

Direction of the vector :

Find the component form of  : 

and .

Find the magnitude of the vector :

Direction of the vector :

and are equivalent since  magnitude and direction for the both vectors and are same.

Therefore, and are equivalent.

Therefore, and are equivalent.