Question

How do I know if two vectors are equal?

Answer 1

the two vectors should have equal magnitude and direction

Explanation:

if any two vectors fulfill the above conditions, they are equal vectors.

consider the two vectors `vec (AB)` and `vec(XY)`

if these two vectors have the same direction (in other words if they are parallel to each other), it can be represented as
`vec (AB) = lamda vec(XY)`

here `lamda in RR`

but if they claim equal magnitudes (`|vec (AB)| = |vec(XY)|`
`lamda = 1`
which means `vec (AB) =vec(XY)` two equal vectors