Question

Given vectors a=(3, 2) and b=(-5, 6), find – 3a+2b.Write your answer in component form.-3a + 2b =

Answer 1

Vector a = (3, 2), then;

`-3a=-3(3,2)\text{ = (-9,-6)}`

Also, vector b = (-5, 6), then;

`2b=2(-5,6)=(-10,12)`

Then, -3a + 2b = (-9, -6) + (-10, 12)

`\begin{gathered} -3a+2b=(-9+(-10),-6+12)_{} \\ -3a+2b=(-19,6) \end{gathered}`

The answer is (-19,6)