On the grid below, draw the following vectors: a = −2i+3j b = -4i+2j c=5j

a⃗ =⟨−3,−2⟩ and b⃗ =⟨2,4⟩​. Represent a⃗ −b⃗  using the head-to-tail method. Use the Vector tool to draw the vectors, complete the subtraction by the head-to-tail method, and draw a⃗ −b⃗ .

a. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =

On the grid below, draw the following vectors: a = −2i+3j b = −4+2 c = 57 6 3 2 ☑ 16 x -8-7-6-5-4-3-2-1 -2 1 2 3 -7 -8