NixxonP583273 NixxonP583273
  • 25-10-2022
  • Mathematics
contestada

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

Given f lt2 3gt and g lt1 5gt find f 2g class=

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UlrichI737134 UlrichI737134
  • 25-10-2022

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.

[tex]<2(1),2(-5)>\Rightarrow<2,-10>[/tex]

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.

[tex]\begin{gathered} <-2,3>+<2,-10> \\ <-2+2,3+(-10)> \\ <0,-7> \end{gathered}[/tex]

The result is <0, -7>.

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

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

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