Consider the two matrices: R1 = (1/3)[ 2, -1, 2; 2, 2, -1; -1, 2, 2] , R2 = (1/3) [-1, 2, 2; 2, -1, 2; 2, 2, -1]Find the rotation axis vectors (ω1 ∈ R3 and ω2 ∈ R3) and the rotation angles (θ1 and θ2) for R1 and R2, respectively. |ωi| = 1 and 0 ≤ θi ≤ π.