[SEARCH] Improves bring your own vectors page based on SEO guidelines (#2781)

## Description

This PR optimizes the content of the `Bring your own vectors` page based
on the SEO best practices outlined
[here](https://stunning-adventure-qrvr1k2.pages.github.io/style-guide/seo/).

---------

Co-authored-by: kosabogi <[email protected]>
Co-authored-by: Liam Thompson <[email protected]>

Author: 3 people

solutions/search/vector/bring-own-vectors.md

@@ -10,15 +10,13 @@ products:
 description: An introduction to vectors and knn search in Elasticsearch.
 ---
 
-# Bring your own dense vectors [bring-your-own-vectors]
+# Bring your own dense vectors to {{es}} [bring-your-own-vectors]
 
-{{es}} enables you store and search mathematical representations of your content called _embeddings_ or _vectors_, which help machines understand and process your data more effectively.
-There are two types of representation (_dense_ and _sparse_), which are suited to different types of queries and use cases (for example, finding similar images and content or storing expanded terms and weights).
+{{es}} enables you to store and search mathematical representations of your content - _embeddings_ or _vectors_ - which power AI-driven relevance. There are two types of vector representation - _dense_ and _sparse_ - suited to different queries and use cases (for example, finding similar images and content or storing expanded terms and weights).
 
-In this introduction to [vector search](/solutions/search/vector.md), you'll store and search for dense vectors.
-You'll also learn the syntax for searching these documents using a [k-nearest neighbour](/solutions/search/vector/knn.md) (kNN) query.
+In this introduction to [vector search](/solutions/search/vector.md), you’ll store and search for dense vectors in {{es}}. You’ll also learn the syntax for querying these documents with a [k-nearest neighbour](/solutions/search/vector/knn.md) (kNN) query.
 
-## Prerequisites
+## Prerequisites for vector search
 
 - If you're using {{es-serverless}}, create a project with the general purpose configuration. To add the sample data, you must have a `developer` or `admin` predefined role or an equivalent custom role.
 - If you're using {{ech}} or a self-managed cluster, start {{es}} and {{kib}}. The simplest method to complete the steps in this guide is to log in with a user that has the `superuser` built-in role.
@@ -27,11 +25,9 @@ To learn about role-based access control, check out [](/deploy-manage/users-role
 
 ## Create a vector database
 
-When you create vectors (or _vectorize_ your data), you convert complex and nuanced content (such as text, videos, images, or audio) into multidimensional numerical representations.
-They must be stored in specialized data structures designed to ensure efficient similarity search and speedy vector distance calculations.
+When you create vectors (or _vectorize_ your data), you convert complex content (text, images, audio, video) into multidimensional numeric representations. These vectors are stored in specialized data structures that enable efficient similarity search and fast kNN distance calculations.
 
-In this quide, you'll use documents that already have dense vector embeddings.
-To deploy a vector embedding model in {{es}} and generate vectors while ingesting and searching your data, refer to the links in [Learn more](#bring-your-own-vectors-learn-more).
+In this guide, you’ll use documents that already include dense vector embeddings. To deploy a vector embedding model in {{es}} and generate vectors during ingest and search, refer to the links in [Learn more](#bring-your-own-vectors-learn-more).
 
 ::::{tip}
 This is an advanced use case that uses the `dense_vector` field type. Refer to [](/solutions/search/semantic-search.md) for an overview of your options for semantic search with {{es}}.
@@ -47,7 +43,7 @@ Each document in our simple data set will have:
 * An embedding of that review: stored in a `review_vector` field, which is defined as a [`dense_vector`](elasticsearch://reference/elasticsearch/mapping-reference/dense-vector.md) data type.
 
 :::{tip}
-The `dense_vector` type automatically uses `int8_hnsw` quantization by default to reduce the memory footprint required when searching float vectors. Learn more about balancing performance and accuracy in [Dense vector quantization](elasticsearch://reference/elasticsearch/mapping-reference/dense-vector.md#dense-vector-quantization).
+The `dense_vector` type automatically uses `int8_hnsw` quantization by default to reduce the memory footprint when searching float vectors. Learn how to balance performance and accuracy in [Dense vector quantization](elasticsearch://reference/elasticsearch/mapping-reference/dense-vector.md#dense-vector-quantization).
 :::
 
 The following API request defines the `review_text` and `review_vector` fields:
@@ -75,9 +71,7 @@ PUT /amazon-reviews
 2. The `index` parameter is set to `true` to enable the use of the `knn` query.
 3. The `similarity` parameter defines the similarity function used to compare the query vector to the document vectors. `cosine` is the default similarity function for `dense_vector` fields in {{es}}.
 
-Here we're using an 8-dimensional embedding for readability.
-The vectors that neural network models work with can have several hundreds or even thousands of dimensions that represent a point in a multi-dimensional space.
-Each vector dimension represents a _feature_ or a characteristic of the unstructured data.
+Here we’re using an 8-dimensional embedding for readability. The vectors that neural network models work with can have several hundreds or even thousands of dimensions that represent a point in a multi-dimensional space. Each dimension represents a feature or characteristic of the unstructured data.
 ::::
 ::::{step} Add documents with embeddings
 
@@ -113,9 +107,7 @@ POST /_bulk
 
 ## Test vector search [bring-your-own-vectors-search-documents]
 
-Now you can query these document vectors using a [`knn` retriever](elasticsearch://reference/elasticsearch/rest-apis/retrievers.md#knn-retriever).
-`knn` is a type of vector search, which finds the `k` most similar documents to a query vector.
-Here we're using a raw vector for the query text for demonstration purposes:
+Now you can query these document vectors using a [`knn` retriever](elasticsearch://reference/elasticsearch/rest-apis/retrievers.md#knn-retriever). `knn` is a type of vector similarity search that finds the `k` most similar documents to a query vector. Here we're using a raw vector for the query text for demonstration purposes:
 
 ```console
 POST /amazon-reviews/_search
@@ -131,31 +123,27 @@ POST /amazon-reviews/_search
 }
 ```
 
-1. A raw vector serves as the query text in this example. In a real-world scenario, you'll need to generate vectors for queries using an embedding model.
+1. A raw vector serves as the query text in this example. In a real-world scenario, you'll generate query vectors using an embedding model.
 2. The `k` parameter specifies the number of results to return.
 3. The `num_candidates` parameter is optional. It limits the number of candidates returned by the search node. This can improve performance and reduce costs.
 
-## Next steps
+## Next steps: implementing vector search
 
-If you want to try a similar set of steps from an {{es}} client, check out the guided index workflow:
+If you want to try a similar workflow from an {{es}} client, use the guided index workflow:
 
-- If you're using Elasticsearch Serverless, go to **{{es}} > Home**, select the vector search workflow, and **Create a vector optimized index**.
-- If you're using {{ech}} or a self-managed cluster, go to **Elasticsearch > Home** and click **Create API index**. Select the vector search workflow.
+* If you're using {{es}} Serverless, go to **{{es}} > Home**, select the vector search workflow, and **Create a vector optimized index**.
+* If you're using {{ech}} or a self-managed cluster, go to **{{es}} > Home** and click **Create API index**. Select the vector search workflow.
 
 When you finish your tests and no longer need the sample data set, delete the index:
 
 ```console
 DELETE /amazon-reviews
 ```
 
-## Learn more [bring-your-own-vectors-learn-more]
+## Learn more about vector search [bring-your-own-vectors-learn-more]
 
-In these simple examples, we're sending a raw vector for the query text.
-In a real-world scenario you won't know the query text ahead of time.
-You'll need to generate query vectors, on the fly, using the same embedding model that generated the document vectors.
-For this you'll need to deploy a text embedding model in {{es}} and use the [`query_vector_builder` parameter](elasticsearch://reference/query-languages/query-dsl/query-dsl-knn-query.md#knn-query-top-level-parameters).
-Alternatively, you can generate vectors client-side and send them directly with the search request.
+In these simple examples, we send a raw vector for the query text. In a real-world scenario, you won’t know the query text ahead of time. You’ll generate query vectors on the fly using the same embedding model that produced the document vectors. For this, deploy a text embedding model in {{es}} and use the[`query_vector_builder` parameter](elasticsearch://reference/query-languages/query-dsl/query-dsl-knn-query.md#knn-query-top-level-parameters). Alternatively, you can generate vectors client-side and send them directly with the search request.
 
 For an example of using pipelines to generate text embeddings, check out [](/solutions/search/vector/dense-versus-sparse-ingest-pipelines.md).
 
-To learn about more search options, such as semantic, full-text, and hybrid, go to [](/solutions/search/search-approaches.md).
+To learn more about the search options in {{es}}, such as semantic, full-text, and hybrid, refer to [](/solutions/search/search-approaches.md).