Be you free tomorrow afternoon?表达是否有误?

Be you free tomorrow afternoon?表达是否有误?
应该是Are you free tomorrow afternoon吧?
但为什么下面的讲解用的是"be"呢?只是句型讲解还是能这样表达呢?
1.Will you be free this afternoon?
Yes,I’ll be free this afternoon.
2.Will she be free on Sunday morning?
Yes,she’ll be free on Sunday morning.
3.Will he be free next week?
Yes,he’ll be free next week.
4.Will they be free this afternoon?
Yes,they’ll be free this afternoon.
5.Will you be free tomorrow afternoon?
No,I won’t be free until evening.