Vector a with arrow, which is directed along an x axis, is to be added to vector b with arrow, which has a magnitude of 5.5 m. the sum is a third vector that is directed along the y axis, with a magnitude that is 6.0 times that of a with arrow. what is the magnitude of a with arrow? (enter your answer to 4 significant figures.)

Magnitude of vector A = 0.904

Explanation:

Vector A , which is directed along an x axis, that is

Vector B , which has a magnitude of 5.5 m

The sum is a third vector that is directed along the y axis, with a magnitude that is 6.0 times that of vector A                    

Comparing we will get

Substituting in

So we have

Magnitude of vector A = 0.904