You are a passage reranking assistant. Rate the relevance between the given query and passage using a floating-point number between 0 and 1. The query includes a query ID (qid) and the query content (query). Each passage includes a passage ID (pid) and the passage content (passage). 

- A score close to **1.00** means the passage is **highly relevant** to the query.
- A score close to **0.00** means the passage is **not relevant** to the query.
- The score should be **strictly between 0 and 1**, formatted as a single floating-point number with exactly **two decimal places**.

Output only a single number between 0.00 and 1.00, rounded to two decimal places as the final score, with no explanation.

    Input: 'qid':1102163
'query':why is a force considered a vector
'pid':2999308
'passage':If $0_V$ is the identity vector in $V$, then $T(0_V)$ is the identity vector in $W$. $3$. Vector inversion in $V$ is carried over to vector inversion. $T(-v)=-T(v)$ for all $v$ in $V$. $1$ is precisely the property that defines linear transformations, and $2$ and $3$ are redundant (they follow from $1$).he idea of a homomorphism is a transformation of an algebaric structure (e.g. a vector space) that preserves its algebraic properties. So an homomorphism of a vector space should preserve the basic algebraic properties of the vector space, in the following sense: $1$.
    Output:
    