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

User Marlius
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1 Answer

14 votes
14 votes

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)

User Claytog
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