if A=12x - 16y and B= - 24x + 10y,what is the magnitude of the vecror C=2A-B?

Question

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Answer 1

A(x) =12 , B(x) = - 24,
C(x)=(2A-B)(x)=(2•12-(-24)) =48
A(y) = -16, B(y) = 10.
C(y)=(2A-B)(y)=(2•(-16) -10) = - 42
Magnitude of C=2A-B =sqrt{48²+(-42)²} =63.78