Question

Given vectors a = <9, 9> and b = <–4, 7>, find 3a − 2b

Answer 1

<35, 13>

Explanation:

Answer 2

`<35,13>`

Explanation:

Lets review vector properties:

Let vector A=<a,b> and B=<c,d> and let "c" be a constant, then:

• cA = c<a,b> = <ca,cb>
• A+B = <a,b> + <c,d> = <a+c,b+d>

Now, let's do the vector operation shown:

`3a-2b\\=3<9,9>-2<-4,7>\\=<27,27>+<8,-14>\\=<27+8,27-14>\\=<35,13>`

This is the vector after the operations shown.