What is the semantic relationship expected between word vectors which are scalar multiples of each other in word2vec?

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Multi tool useThe name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP


What is the semantic relationship expected between word vectors which are scalar multiples of each other in word2vec?



Let's say you have a word vector for the word queen. Some of its scalar multiples would be x = queen + queen , y = queen + queen + queen and n * queen for any real value of n ( so we're also considering non-integer values of n such as in 0.83 * queen ).


queen


x = queen + queen


y = queen + queen + queen


n * queen


0.83 * queen



Therefore I have two questions:



How are these points expected to appear on the biplot generated after PCA? Will they lie around a straight line?



What is the semantic relationship expected between the words x, y and queen? I know these vectors will all have the same ratio between the dimensional values within the vector, but I'm having a hard time figuring out how to read this in terms of word meaning.


x


y


queen









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