The false statement about epipolar geometry is that if camera motion is parallel to the image planes, the epipole will not be visible in the images. In fact, the epipoles are at infinity in such a case.
The question pertains to epipolar geometry in computer vision, which is a part of computer engineering or a specialized field of study within engineering. Epipolar geometry is the intrinsic projective geometry between two views captured by cameras. It is foundational to the process of stereo vision where 3D structure is recovered from stereo image pairs.
Epipolar Geometry involves concepts like epipoles, which are points where the line joining the camera centers intersects the image planes, and epipolar lines, which are the lines of intersection between the image planes and the plane containing the camera baseline and a point in space.
From the given statements, the one that is not true about epipolar geometry is that "if camera motion is parallel to the image planes, we will not be able to see the epipole in either image". This statement is incorrect because if the camera motion is parallel to the image planes, the epipoles are at infinity and thus not visible in the finite image planes.