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

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explanation:

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day