Question

Please help! Refer to the image below.

Answer 1

If u = ⟨-4, 8⟩ and v = ⟨5, -18⟩, then we have

2u - 4v = ⟨-8, 16⟩ + ⟨-20, 72⟩ = ⟨-28, 88⟩

To this vector, we want to add another vector w = ⟨a, b⟩ such that

2u - 4v + w = ⟨0, 1⟩

Solve for w :

w = ⟨0, 1⟩ - ⟨-28, 88⟩ = ⟨28, -87⟩ … … … [C]