Question 9: Consider the following sentences: S1: "I like studying LL…

Consider the following sentences:

• S1: "I like studying LLMs"
• S2: "I like studying big data"
• S3: "I also like studying computer vision"

Assuming each word is represented by a positional encoding vector with an embedding dimension of $512$, calculate the total number of unique elements in the positional encoding vectors of these sentences.

(Example: Number of unique elements in vectors $[3.7, 7.3]$ and $[3.4, 3.7]$ and $[7.3, 3.7]$ is $3$)