Question

Given vector u, equals, open angle bracket, minus, 1, comma, minus, 2, close angle bracketu=⟨−1,−2⟩ and v, equals, open angle bracket, 2, comma, minus, 5, close angle bracket, commav=⟨2,−5⟩, determine the value of v, minus, 5, uv−5u in component form.

Answer 1

u = ⟨−1, −2⟩, so 5u = ⟨−5, −10⟩.
v − 5u = ⟨2, −5⟩ − ⟨−5, −10⟩ = ⟨7, 5⟩.