Multidimensional Vectors

Geometry Level 3

The angle between the 20152015-dimensional vectors a\vec{a} and b\vec{b} is 3030^{\circ} . Let a=8 \|\vec{a} \| = \sqrt{8} and b=96 \|\vec{b} \| = \sqrt{96}. Find the value of ab2 \|\vec{a} - \vec{b} \| ^2 .

Image Credit: Wikimedia Oleg Alexandrov
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