Let u=(-1,3) and w=(2,4) . Find the resulting vector of 2u-4w in component form. (1 point) Responses Image with alt text: left angle bracket negative 10 comma negative 10 right angle bracket Image with alt text: left angle bracket negative 8 comma negative 8 right angle bracket Image with alt text: left angle bracket negative 3 comma 1 right angle bracket

1 answer

To find 2u - 4w in component form, we first need to multiply each component of u and w by their corresponding scalars:

2u = 2*(-1, 3) = (-2, 6)
4w = 4*(2,4) = (8,16)

Next, subtract 4w from 2u:

2u - 4w = (-2, 6) - (8, 16) = (-2-8, 6-16) = (-10, -10)

Therefore, the resulting vector of 2u - 4w in component form is < -10, -10 >.