Let P be the plane √3x+2y+3z=16 and let S={αî+βĵ+γk^:α²+β²+γ²=1 and the distance of (α,β,γ) from P is 7/2}. Let u,v,w be three distinct vectors in S such that |u−v|=|v−w|=|w−u|. Let V be the volume of the parallelepiped determined by u,v,w. Then the value of (80/√3)V is