(х - 2,3) • 7,3 - 38,69.

To find the product of the two vectors, we need to multiply their corresponding components and then sum the results.

Given vectors: \( \vec{u} = (x-2, 3) \) \( \vec{v} = (7.3, -38.69) \)

Multiplying the corresponding components: \( (x-2) \times 7.3 + 3 \times (-38.69) \)

Expanding this out, we get: \( 7.3x - 14.6 - 116.07 \)

Simplifying this expression further: \( 7.3x - 130.67 \)

Therefore, the product of vectors \( \vec{u} \) and \( \vec{v} \) is \( 7.3x - 130.67 \).