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If a ,b and c are unit vectors,then show that
0≤ \left|\vec{a}-\vec{b} \right|^{2}+\left|\vec{b}-\vec{c} \right|^{2}+\left|\vec{c}-\vec{a} \right|^{2}\leq 9\left|\vec{a}-\vec{b} \right|^{2}+\left|\vec{b}-\vec{c} \right|^{2}+\left|\vec{c}-\vec{a} \right|^{
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4 Answers
Celestine preetham
·2009-06-08 22:52:11
gvn is trivial ≥ 0
now gvn = 3 Σ |a|2 - |a + b + c|2 = 9 - |a + b + c|2 ≤9