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If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca. |
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Answer» Given, a + b + c = 0 and a2 + b2 + c2 = 16 Choose a + b + c = 0 Squaring both sides, (a + b + c)2 = 0 a2 + b2 + c2 + 2(ab + bc + ca) = 0 16 + 2(ab + bc + c) = 0 2(ab + bc + ca) = -16 ab + bc + ca = \(\frac{-16}{2}\) ab + bc + ca = -8 |
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