The size diffrence, which is by no means consistent in individual men and women, didn’t cause the violence any more than racial differences did. The patriarchal systems that treated women (like slaves) as the property of men made the violence acceptable and institutional.
Culture.
Actually, those differences are also culturally conditioned, and not at all fixed.
"Psychologists long took it for granted that the male and female brains were fundamentally different. But in a landmark 1974 book, Stanford developmental psychologists Eleanor Maccoby and Carol Jacklin reviewed thousands of studies and found the opposite: By and large, there just wasn’t much data to support the conventional wisdom. Yes, men’s brains are bigger, but so are their bodies; aside from size, there’s no solid evidence of physical characteristics in the brain that are demonstrably male or female. A 2015 study published in the Proceedings of the National Academy of Sciences concluded that “human brains do not belong to one of two distinct categories: male brain/female brain.”
Consciously or unconsciously, girls are nudged away from activities that would help them develop spatial skills almost as soon as they’re born. As they grow, parents respond to their kids’ interests, quickly compounding what may start out as very slight biases.
“Parents are very invested in gender differences, and any differences between a son and a daughter tend to be attributed to sex,” says Lise Eliot, a neuroscientist at the Chicago Medical School of Rosalind Franklin University of Medicine and Science, author of Pink Brain, Blue Brain: How Small Differences Grow into Troublesome Gaps, and What We Can Do About It.
Over time, “boy” toys reinforce skills that are proven brain boosters. Playing with Legos and blocks, taking a shop class in high school and time spent playing 3-D computer games have all been shown to boost scores on mental rotation tests."
http://m.nautil.us/issue/32/space/men-are-better-at-maps-until-women-take-this-course
A cursory examination of gender roles and cultural conditioning also accounts for differences verbal skills, and they are no more fixed that spatial abilities.
Edit:
Thats well and good.
Offering rationalizations and conjecture as reasons for gender inequity isn’t really helpful to anyone other than those who believe it is a good excuse.