Given that a, B and C are all real numbers, a ^ 2 + B ^ 2 + C ^ 2 = 1, what are the maximum and minimum values of AB + BC + AC?

Given that a, B and C are all real numbers, a ^ 2 + B ^ 2 + C ^ 2 = 1, what are the maximum and minimum values of AB + BC + AC?

a^2+b^2+c^2
(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ac)=1+2(ab+bc+ac)
Because the minimum value of (a + B + C) ^ 2 > = 0 is 0, the minimum value of (AB + BC + AC) is - 1 / 2
Only when a = b = C has the maximum value 3A ^ 2 = 1
ab+bc+ac=3a^2=1

Elden Ring Premiere

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