Question

Given f <-2, 3> and g <1, -5> find f + 2g

Answer 1

Here are the steps in adding vector f and vector 2g.

1. First, multiply vector G by 2. To do this, simply multiply each component of g by 2.

`<2(1),2(-5)>\Rightarrow<2,-10>`

2. Add the result in step 1 to vector f.

To add, simply add each component of vector f to its corresponding component of vector g.

`\begin{gathered} <-2,3>+<2,-10> \\ <-2+2,3+(-10)> \\ <0,-7> \end{gathered}`

The result is <0, -7>.

Hence, f + 2g = <0, -7>. (Option 3)

Hence, f + 2g = <0, -7>. (Option 3)