Final answer:
JavaScript is the technology that can be defined as a vendor-neutral, cross-platform API that specifies how objects in a Web document can be referred to and manipulated through scripting languages.
Step-by-step explanation:
The technology that can be defined as a vendor-neutral, cross-platform API that specifies how objects in a Web document can be referred to and manipulated through scripting languages is JavaScript. JavaScript is a programming language that allows developers to add interactivity and functionality to web pages. It is supported by all major web browsers and can be used to create dynamic and interactive websites.