Equal Vectors Do Not Depend on Location
Two vectors are equal if they have the same magnitude and the same direction. Their positions in a diagram may be different. This matters because forces, displacements, and velocities are often drawn at different places while still representing the same vector.
Two vectors are equal because their lengths and directions match, not because their tails sit at the same point.
Equal and Opposite Vectors
Vectors and are equal because they are parallel, point the same way, and have the same length. Vector points the opposite way.