Resumes, and the entire "fire a resume and pray" job search model, are for people who suck at sales and/or are ignorant about how hiring works. Have one, sure, but the main use is after you have gotten preferential consideration or an offer. (You get these by introductions by people trusted by the decision maker, being identifiably the best at the problem, etc.)
Networking, a portfolio, and a sales page on your website are much, much better plays for most of the people here.
Networking, a portfolio, and a sales page on your website are much, much better plays for most of the people here.