Question

Two vectors are equal if and only if

Answer 1

Vector

1. Vectors are those quantity which have both magnitude as well as direction.
2. Examples are Force, Displacement, Velocity, acceleration etc.

Equal vector

1. Two vectors are equal if the length of the vectors are equal and
2. Direction of the vectors are same.

Diagram of equal vectors:

In the shown figure vector $\overline{a}$ and $\overline{b}$ are the same magnitude and direction. Thus, the both vectors are equal.

Hence, two vectors are equal if and only if they have the same magnitude as well as direction.