I am self-studying Euclidean geometry, and I am a little confuse about the following statement.
In dimension bigger than three is possible two planes have exactly one point in common.
It is from a book written in Portuguese. How is that possible?
I am self-studying Euclidean geometry, and I am a little confuse about the following statement.
In dimension bigger than three is possible two planes have exactly one point in common.
It is from a book written in Portuguese. How is that possible?
Think of $\mathbb R^4$. For one example, one plane is all the points $(x,y,0,0)$. The second is all points $(0,0,z,w)$. The intersection is the origin.