target = queen - king + man = (3.2 - 1 + 1, 4.1 - 4 + 1) = (3.2, 1.1)
woman: dot = 3.2*3 + 1.1*1 = 10.70; |target| = 3.384; |woman| = 3.162; cosine = 10.70 / (3.384*3.162) = 1.000
girl: dot = 3.2*3 + 1.1*0.3 = 9.93; |target| = 3.384; |girl| = 3.015; cosine = 9.93 / (3.384*3.015) = 0.973
apple: dot = 3.2*-2 + 1.1*3 = -3.10; |target| = 3.384; |apple| = 3.606; cosine = -3.10 / (3.384*3.606) = -0.254
man: dot = 3.2*1 + 1.1*1 = 4.30; |target| = 3.384; |man| = 1.414; cosine = 4.30 / (3.384*1.414) = 0.899
queen: dot = 3.2*3.2 + 1.1*4.1 = 14.75; |target| = 3.384; |queen| = 5.201; cosine = 14.75 / (3.384*5.201) = 0.838
king: dot = 3.2*1 + 1.1*4 = 7.60; |target| = 3.384; |king| = 4.123; cosine = 7.60 / (3.384*4.123) = 0.545