A random fact is that carrots are a domesticated form of a wild carrot 
what is the difference?
Not much information on that but i found that the plant originated inPersia 
Thats pretty cool! What vitamins can be found inc arrots?
The carrot has many vitamins ranging from vitamin K , and vitamin b6 are the main ones
b6 is for energy..right?
Yeah it will give you energy , another fact is that they believe that eating carrots improves night vision 
thats a weird trait to have..
domestic carrot has been selectively bred for its greatly enlarged, more palatable, less woody-textured taproot.
The carrot is a biennial plant in the umbellifer family Apiaceae. At first, it grows a rosette of leaves while building up the enlarged taproot. Fast-growing cultivars mature within three months (90 days) of sowing the seed, while slower-maturing cultivars need a month longer (120 days). The roots contain high quantities of alpha- and beta-carotene, and are a good source of vitamin K
Carrot juice
Carrot juice is juice produced from carrots.
Overview.
Carrot juice has a particularly high content of β-carotene, a source of vitamin A, but it is also high in B complex vitamins like folate, and many minerals including calcium, copper, magnesium, potassium, phosphorus, and iron. A pound (454 g) of carrots will yield about a cup of juice (about 236 ml), which is a low yield compared to fruits like apples and oranges. However, carrot