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IBM

MCP Math Server

by IBM

vectors_parallel

Determine if two vectors are parallel or anti-parallel by comparing their directional relationships with adjustable tolerance for precision.

Instructions

Check if two vectors are parallel (or anti-parallel) (Domain: linear_algebra.vectors, Category: general)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
vector_aYes
vector_bYes
toleranceNo
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries full burden. It mentions checking for parallel/anti-parallel status but doesn't disclose behavioral traits like numerical tolerance handling (implied by the 'tolerance' parameter), return format (boolean? details?), or edge cases (e.g., zero vectors, dimension mismatches). This leaves significant gaps for a tool with mathematical computations.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is very concise—a single sentence with domain/category tags. It's front-loaded with the core purpose, though it could be more informative without losing efficiency. No wasted words, but under-specification limits its helpfulness.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given no annotations, 0% schema coverage, no output schema, and 3 parameters, the description is incomplete. It doesn't cover parameter meanings, return values, error conditions, or usage context. For a mathematical tool with sibling alternatives, this leaves the agent poorly equipped to use it correctly.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters2/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%, so the description must compensate. It doesn't explain parameters at all—no mention of what 'vector_a' and 'vector_b' represent (arrays of strings? numeric values?), what 'tolerance' does, or how inputs should be formatted. This fails to add meaning beyond the bare schema.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states the tool's purpose: 'Check if two vectors are parallel (or anti-parallel)' with domain/category context. It specifies the verb ('Check') and resource ('two vectors'), though it doesn't explicitly differentiate from sibling tools like 'vectors_orthogonal' or 'vector_angle' that handle related vector relationships.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidance is provided on when to use this tool versus alternatives. With many sibling tools for vector operations (e.g., 'vectors_orthogonal', 'dot_product', 'cross_product'), the description lacks any context about when parallel checking is appropriate versus other vector analyses or comparisons.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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