No. They are actually separate and they have separate rules as well.
yes
Not in your hand luggage, but it will be ok in the hold.
Checked luggage is that which has been checked in: weighed, labelled, and taken away to be loaded onto the plane. You don't see it again until you have landed at the other end and the plane is unloaded. Hand luggage is that which you can take onto the plane with you and have access to during the flight.
can we bring our ps3 on hand luggage
No, usually the checked weight is different from the weight of the hand luggage. Check with your airline
You can only check your luggage in for an Expedia flight if you are actually at the airport. This is because you luggage needs to be weighed and there will be a fee if it is over a particular weight.
it would normally be sent to the hold as its not considered hand luggage
are laptops classed as one piece of hand luggage on monarch flights
All liquids taken onboard in hand luggage, including alcohol, have a 100ml (3.4 oz) restriction. No limits on checked, hold luggage. See related link below.
no
no
Yes, an electric shaver maybe taken in hand luggage on Delta.