Question

what is the component form of resultant of 2b - 3a?
a={2,-3}
b={-1,5}

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2b - 3a = ( , )

Answer 1

The  component form for the given expression for x and y respectively is <-12, 7>

Vector Notation

Given Data

• a= {2,-3}

• b= {-1,5}

For the x component: a=2 and b=–3, so 2b-3a

Substituting our given data in the expression

2b-3a  = 2*-3-3(2)

2b-3a  = -6-6

2b-3a  = -12

For the y component: a=-1 and b=5, so 2b-3a

Substituting our given data in the expression

2b-3a  = 2*5-3(-1)

2b-3a  = 10-3

2b-3a  = 7

Now put x and y back together: <-12, 7>

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