Extract the bag$-$of$-$words $($BoW$)$ histogram feature vectors from the following text samples:

$1)$ The car is red

$2)$ The red car is fast

$3)$ The family has a big house

$4)$ The family owns the house and the car

Ignore articles, verbs, and conjunctions in your BoW. Normalize the obtained feature vectors to have unit norm.$$