Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v.

Solution:

u = (6, 1)

v = (-5, 2)

Using scalar multiplication we can find

-4u = (- 4 × -6, -4 × 1) = (24, -4)

2v = (2 × -5, 2 × 2) = (-10, 4)

Therefore -4u + 2v will be

-4u + 2v = (24 + (-10), -4 + (4)) = (14, 0)

Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v

Summary:

If u = <-6, 1>, v = <-5, 2> then -4u + 2v = <14, 0>