5 points that are not coplanar with H, E, and A are B, I, C, F, and G.
The figure in the given diagram is a cube. We have to find the 5 points in the cube that are not coplanar with H, E, and A.
Points are non-coplanar if they don't lie on the same plane.
From the given cube diagram, it is clear points A, E, H, J, and D lie on the same plane, while the points B, I, C, F, and G lie on a different plane. Since we have to check if the points are coplanar with respect to the given points H, E, and A.
It can be concluded that points J and D are coplanar with the given points H, E, and A as they all lie in the same plane, while the points B, I, C, F, and G are non coplanar points with respect to the given points H, E, and A as they lie on a different plane.
Therefore, using the concept of coplanar and non coplanar points, we get 5 points that are not coplanar with H, E, and A as B, I, C, F, and G.
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