The alignment generated in the ground level of Fe X by scattering in the coronal red line λ6374, can be efficiently transferred by collisions to upper levels; the ensuing spontaneous emission in allowed EUV transitions (as 174.5~Å and 177~Å) is then linearly polarized. The polarization thus generated would be sensitive to the electronic density (Ne) and to the magnetic field orientation although not to the field strength. At Ne˜ 10^7~cm-3 the linear polarization would be ˜1% just over the solar surface and ˜5% at 0.2R_&sun;, rapidly decaying for Ne> 10^8~cm-3. The mechanism works for other spectral lines and ions too.