'ping after change arp table manually

I have three vitual machines , suppose the IP of each machine is as follows:

 - Machine A owns IP_A with MAC_A.
 - Machine B owns IP_B with MAC_B.
 - Machine C owns IP_C with MAC_C.

and these three machines are in a local area network . Now, I launch A and C, and ping A on C ,succeeds. Then, change the mapping of IP and MAC by

arp -s  B  MAC_A.

which results in a fake mapping . But when I ping B on C, it fails. Isn't it just sending the message to A directly based on the wrong mapping of IP and MAC?

ping arp

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'ping after change arp table manually

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