# Define angle between "3D space" in 4D space

We can define the angle between the line in 2D space, and also can define angle between planes in 3D space, and is it possible to define the angle between 3D space in higher dimensions? And if it's possible to define, and can I use this formula, $V=V^\prime \cos\theta$ to get a volume of "orthogonal projection" of the solid?

• Have a look at math.stackexchange.com/questions/202261 Feb 27, 2016 at 7:17