2a find a dot b if a 3e1 5e2-e3nbspand b e1nbsp-e2

Question

2a.) Find A dot B if A = 3e₁+ 5e₂-e₃ and B = e₁ -e₂+ e₃ if e₁ dot e₁ = 2, e₂ dot e₂ = 3, e₃ dot e₃ = 5, e₁ dot e₂ = -1, e₁ dot  e₃ = -3, e₂ dot e₃ = 2

b.) Find A cross B if A = 2e₁+ 5e₂-e₃ and B = e₁ - 2e₂+ 4e₃ where e₁ cross e₂ = i-j, e₁ cross e₃ = j+k, e₂ cross e₃ = i+k