take car home

take a/the car home
或drive a car home
其他交通工具就用：take+a/the +交通工具

应该是：take a/the/ one's car home

take + 限定词+ 交通工具+ home

take a/the car/bus home.

或者可以说成:go home by car/bus.

英汉词典的解释：
takeL 搭乘，骑；进去，隐藏；越过，渡过。 Take a train 坐火车。 Take ship 坐船。 Take a hurdle 跳过栏去。 Take a bus to town 乘公共汽车进城。