Question
Two positions of the same dice, having face numbered as
1, 5, 6, 7, 8, 9, are given. What will be the product of number opposite to both β7β and β6β?Solution
According to the cube, β7β must be opposite to β8β and β1β must be opposite to β9β. Only remaining number is β5β, which must be opposite to β6β. So, the product is 40 (8Γ5).
If O is the origin and the coordinates of P are (2, 3, β4), then find the equation of the plane passing through P and perpendicular to OP.
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