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

Given f <-2, 3> and g <1, -5> find f + 2g-example-1
User Babsher
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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)

User James Joyce Alano
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