Vector A has a magnitude of 25 units and points in the positive y-direction. When vector B is added to A, the resultant vector A B points in the negative y-direction with a magnitude of 15 units. Find the magnitude and direction of B.

B= -40

The negative sign indicates the reverse direction to that of vector A.That is it is in the third quadrant.

Explanation:

Th resultant vector is obtained by adding the two vectors A and B

A + B= AB

25 + B= -15

25+ 15= -B

-B = 40

B= -40

Vector B has a magnitude of 40 and points in the opposite direction to that of vector A. The negative indicates the opposite direction.

When we reverse the vector B for adding we place a negative sign with the magnitude.

A vector is quantity defined by magnitude and direction. If the direction is left out it becomes a scalar.

the answer would be 32*f

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