Question

Let u=(1,−2) and v=(3,5) be two vectors in R². Find 2u−4v.

Answer 1

To find 2u - 4v, multiply each component of u by 2 and each component of v by -4, and then subtract the resulting vectors.

Step-by-step explanation:

To find 2u - 4v, we need to multiply each component of u by 2 and each component of v by -4, and then subtract the resulting vectors.

u = (1, -2)

v = (3, 5)

2u = 2(1, -2) = (2, -4)

4v = 4(3, 5) = (12, 20)

2u - 4v = (2, -4) - (12, 20) = (2 - 12, -4 - 20) = (-10, -24)