Determine the projection of vector a onto vector b. Next, express vector a as vectors, a₁ and a₂, where a₁ is parallel to vector b and a₂ is perpendicular to vector b. 
a = 11i -j, b = 3i +9j

• A. a₁ = proj_b(a) = (8/3)i + 8j, a₂ = (25/3)i - 10j
• B. a₁ = proj_b(a) = (8/3)i - 8j, a₂ = (25/3)i + 10j
• C. a₁ = proj_b(a) = (4/5)i + (12/5)j, a₂ = (51/5)i -(17/5)j
• D. a₁ = proj_b(a) = (4/5)i - (12/5)j, a₂ = (51/5)i +(17/5)j

Answer: (C)