In the last few years were using hand-writing less and less, should we teach our kids just typing?

Its An interesting topic to me,
because writing is a macro-machanism that kids are being tought to do at school, while they use text messages to communicate , and in my university were searching every thing on the internet and type our home work using a computer,
Typing is faster, and is used much more in our daily life.
but can it replace hand-writing?

what do you think?
should schools stop teaching hand writing and move to teaching people to type correctly?
should homework and exams be done on computers instead of papers?