Explanation:
Vectors are parallel if they point in the same or opposite directions. In other words, they have the same slope.
Part A.
m₁ = 1 / √3
m₂ = -1 / -√3 = 1 / √3
The vectors are parallel.
Part B.
m₁ = 3 / 2
m₂ = -2 / -3 = 2 / 3
The vectors are not parallel.