cryptography security

please show work

key that should be used in 1c.

Traditional Symmetric Key Ciphers 1. For each part below, use the following plaintext message and show your work. Happiness a What is the corresponding ciphertext if an auto-key cipher with a ki= 11 is used? b. What is the corresponding ciphertext if an Vigenere cipher with key = "life" is used? C. What is the corresponding ciphertext if a Playfair cipher with the following key is used? Secret Key = LG DI BA Q|MH|EC URNIJF XVISOK Z|YW|T|P