ZakhiF774961 ZakhiF774961
  • 25-10-2022
  • Mathematics
contestada

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

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ClarabelleR170603 ClarabelleR170603
  • 25-10-2022

Vector a = (3, 2), then;

[tex]-3a=-3(3,2)\text{ = (-9,-6)}[/tex]

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

[tex]2b=2(-5,6)=(-10,12)[/tex]

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

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

The answer is (-19,6)

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