You need to compute king - man + woman, since, in a well learned model, the king - queen vector is similar to the man - woman vector. These gender-based vector

You need to compute king - man + woman, since, in a well learned model, the king - queen vector is similar to the man - woman vector. These gender-based vector differences can be explained as capturing syntactic rather than semantic information, but semantic relations (Rome:Italy -> Paris:France) can also work.