Let r1 = 2 in region 1, defined by 2x + 3y 4z > 1,

Let μ_r1 = 2 in region 1, defined by 2x + 3y − 4z > 1, while μ_r2 = 5 in region 2 where 2x + 3y − 4z < 1. In region 1, H₁ = 50a_x − 30a_y + 20a_z A/m. Find

(a) H_N1;

(b) H_t1;

(c) H_t2;

(d) H_N2;

(e) θ₁, the angle between H₁ and a_N21;

(f) θ₂, the angle between H₂ and a_N21.