Is this a rare LEGO Technic set?

No, this is a small pack of 10 pieces from the 2014 Technic line, making it a component rather than a rare set.

What is the theme and year of this beam pack?

The theme is Technic, and this specific pack was released in 2014.

This pack contains a total of 10 pieces.

Name: LEGO Simple and Motorized Mechanisms 1x12 Blue Beams Pack (5003184-1)
Brand: LEGO

Technic

Technic · 2014

Theme · TechnicPieces · 10Set Number · 5003184-1Year · 2014

Used

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New / Sealed

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Is this a rare LEGO Technic set?: No, this is a small pack of 10 pieces from the 2014 Technic line, making it a component rather than a rare set.
What is the theme and year of this beam pack?: The theme is Technic, and this specific pack was released in 2014.
How many pieces are included in the 5003184-1 pack?: This pack contains a total of 10 pieces.