Give the components of the vector whose length is 10 and whose direction opposes the direction of [–4, 3].

I'm not sure why my previous answer was deleted, but heres another attempt.
The vector which opposes the vector with components [-4,3] would be [4,-3], because taking the opposite of each component gives the opposite direction. the length of [4,-3] (your new vector) is 5 because √((4)²+(-3)²) => √(16+9) => √25 = 5. This is half the necessary length, so to fix this we need to double both components, giving [2*4,2*(-3)] = [8,-6]
Final
The vector with components [8,-6] has a length of 10 and opposes the direction of [-4,3].
I hope this helped clear up any confusion over my last answer. :)

The scale factor of what ?

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,