|Find (i.e., write down) a piecewise continuous 3D vector field F with the following properties: It is discontinuous exactly at the origin and on the sphere centered at the origin of radius 2: E(0,0,0) = h0,0,0i; For all (XX.) 6=(0,0,0), |F(x2) I = 1; . On the sphere centered at the origin of radius 1, F is orthogonal (points perpendicular to the sphere: On the ellipsoid & + +3= 1, F is orthogonal (points perpendicular to the ellipsoid). |Find (i.e., write down) a piecewise continuous 3D vector field F with the following properties: It is discontinuous exactly at the origin and on the sphere centered at the origin of radius 2: E(0,0,0) = h0,0,0i; For all (XX.) 6=(0,0,0), |F(x2) I = 1; . On the sphere centered at the origin of radius 1, F is orthogonal (points perpendicular to the sphere: On the ellipsoid & + +3= 1, F is orthogonal (points perpendicular to the ellipsoid)