OG: For all real numbers a, b, c, d, e, and f, the operation @ is defined by the equation

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For all real numbers a, b, c, d, e, and f, the operation @ is defined by the equation (a, b, c) @ (d, e ,f) = ad + be + cf. What is the value of (1, -2, 3) @ (1, -1/2, 1/3)?

A. -1
B. 5/6
C. 1
D. 5/2
E. 3

E

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$$Given\ that:\ (a,b,c)\ @\ (d,e,f)=(a*d)+(b*e)+(c*f)$$
$$\left(1,-2,3\right)@\left(1,\frac{-1}{2},\frac{1}{3}\right)$$
$$=>\left(1\cdot1\right)+\left(-2\cdot\frac{-1}{2}\right)+\left(3\cdot\frac{1}{3}\right)$$
$$=>\ 1+1+1$$
$$=>\ 3$$
$$Answer\ =\ E$$