You Do Need power plug adapter while traveling from Dominica to Vanuatu.

Here is Why You Need An Adapter

The outlet and plug type used in Vanuatu is I and in Dominica are D and G. This is how they look like.

Dominica

In Dominica, outlets of type D and G are in use.

Type D

Type G

Vanuatu

In Vanuatu, outlets of type I are in use.

Type I