Let @= x dz Adx + (6 + x) dx Ady be a two-form on R. Determine the one-form d(kw), where is the Hodge star operator in R. d(*w) = dx + dz dy+ Let @= (sin(x) + 6 cos(y)) dy A dz + (z - y cos(x)) dz A dx + 10xyz dx A dy. Find do. do = dx Ady dz