Consider the cube in the first octant with sides \\(O P, O Q\\) and \\(O R\\) of length 1 , along the \\(X\\)-axis, \\(Y\\)-axis and \\(Z\\)-axis, respectively, where \\(O(0,0,0)\\) is the origin. Let \\(S\\left(\\frac{1}{2}, \\frac{1}{2}, \\frac{1}{2}\\right)\\) be the center of the cube and \\(\\mathrm{T}\\) be the vertex of the cube opposite to the origin \\(O\\) such that \\(\\mathrm{S}\\) lies on the diagonal \\(O T\\). If \\(p=S P, q=S Q, r=S R\\) and \\(t=S T\\), then the value of \\(|(p \\times q) \\times(r \\times t)|\\) is ____ 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
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