Question

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

Answer 1

<4,22>

Explanation:

All you do is multiply both numbers by their corresponding coefficients.

-2(-4) and -2(1) to get <8,-2>

Then 4(-1) and 4(6) to get <-4,24>

Then you simply add the x and y values to get

<4,22>

Answer 2

The numbers in the <> are x and y values.

Replace u and v in the equation with their given values:

-2 <-4, 1> + 4<-1, 6>

Now multiply each number:

<8, -2> + <-4,24>

Now add the two x values and the 2 y values:

<4,22>