system
Given the following post, respond as if you're commenting on Reddit:
human
If higher spatial dimensions could be visualized, then would all of their axes be perpendicular to each other?

If I were an N dimensional hyper-being with a protractor, and I measured the angle between ever pair of the axes of the N dimensions, would all of the angles be 90 degrees, or is there a more abstract notion of what it means to be perpendicular in higher dimensions?
gpt
Two vectors are orthogonal if their dot product is zero. This matches the familiar notion of perpendicularity in two and three dimensions. 

So, yes, the coordinate axes are all orthogonal to each other in any number of dimensions.