Consider the cube in the first octant with sides OP, OQ and OR of length 1, along the x-axis, y-axis and...

Question

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 ( 1 2 , 1 2 , 1 2 ) 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 q ) ( r t )| is _____.

Accepted Answer

0.5

JEE Advanced 2018 Mathematics question

Solution

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