This is correct. Most CG and 3d software (Max, Maya, Blender, CAD) uses a right handed coordinate system, which matches the convention in physics, however they vary in their choice of Y up or Z up. Video games almost always use a left-handed coordinate system with Y up. This is because DirectX and OpenGL chose to represent pixels on-screen with (X,Y) coordinates with the Z coordinate increasing as rays extend from the eye outward.
To add to the confusion, while in both OpenGL and DirectX treat Z axis as depth, DirectX uses a left-handed coordinate system, while OpenGL uses mostly[0] right-handed one.
OpenGL-the-interface is kinda neither (screenspace aside), since the application supplies/does all transformations (glFrustum and friends are long deprecated).
