First I suggest you rename the pivot table to activity_product_user
so it complies with Eloquent naming convention what makes the life easier (and my example will use that name).
You need to define the relations like this:
// User model
public function activities()
{
return $this->belongsToMany('Activity', 'activity_product_user');
}
public function products()
{
return $this->belongsToMany('Product', 'activity_product_user');
}
Then you can fetch related models:
$user->activities; // collection of Activity models
$user->activities->find($id); // Activity model fetched from the collection
$user->activities()->find($id); // Activity model fetched from the db
$user->activities->find($id)->products; // collection of Product models related to given Activity
// but not necessarily related in any way to the User
$user->activities->find($id)->products()->wherePivot('user_id', $user->id)->get();
// collection of Product models related to both Activity and User
You can simplify working with such relation by setting up custom Pivot model, helper relation for the last line etc.
For attaching the easiest way should be passing the 3rd key as a parameter like this:
$user->activities()->attach($activityIdOrModel, ['product_id' => $productId]);
So it requires some additional code to make it perfect, but it's feasible.