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3D Geometry question

2018 · Shift 2 · Q31

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JEE Advanced
Mathematics
3D Geometry
2018 · Shift 2 · Q31

3D Geometry question

2018 · Shift 2 · Q31

JEE AdvancedMathematics3D GeometryNumerical+3 / −1

Consider the cube in the first octant with sides OP, OQ and OR of length 1, along the X-axis, Y-axis and Z-axis, respectively, where O(0, 0, 0) is the origin. Let

S\left( {{1 \over 2},{1 \over 2},{1 \over 2}} \right)

be the centre of the cube and T be the vertex of the cube opposite to the origin O such that S lies on the diagonal OT. If p = SP, q = SQ, r = SR and t = ST, then the value of |(p

\times

q)

\times

(r

\times

t)| is ............

Numerical answer

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