Question

Find the component form of the resultant vector

1.) u= {-18,-24} find: 8u

2.) f= {-2,-2} find: 6f

Answer 1

Answer to problem 1 is {-144,-192}
Answer to problem 2 is {-12,-12}

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Step-by-step explanation:

Vector u is given to be u = {-18,-24}
To compute the vector 8*u, we multiply both sides by 8 and multiply each coordinate by 8
The rule I'm using is if u = (a,b) then k*u = (k*a,k*b)

So,
u = {-18,-24}
8*u = 8*{-18,-24}
8*u = {8*(-18),8*(-24)}
8*u = {-144,-192}

Problem 2 is handled the same way
f = {-2,-2}
6*f = 6*{-2,-2}
6*f = {6*(-2),6*(-2)}
6*f = {-12,-12}