If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4
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Correct Answer: Option C
Explanation:
m * n = \(\frac{m}{n}\) - \(\frac{m}{n}\)
m = − 3
n = 4
∴ − 3 x 4 = \(\frac{-3}{4}\) - \(\frac{-4}{-3}\)
= \(\frac{3(−3) − (− 4 x 4)}{12}\)
= \(\frac{− 9 + 16}{12}\)
= \(\frac{7}{12}\)
m * n = \(\frac{m}{n}\) - \(\frac{m}{n}\)
m = − 3
n = 4
∴ − 3 x 4 = \(\frac{-3}{4}\) - \(\frac{-4}{-3}\)
= \(\frac{3(−3) − (− 4 x 4)}{12}\)
= \(\frac{− 9 + 16}{12}\)
= \(\frac{7}{12}\)