In the space referred to a direct orthonormal system ( O; i, j, k), given the points A (6 ;4;-7) ; B(-1; -3; -11), C (0 ; -8 ; -4) and D (7; -1;0). 1. Calculate AC and BD. 2. Show that the segments [AC] and [BD] have the same midpoint. 3. What is the nature of quadrilateral ABCD?

Q: 4. Consider the point M 2t,31 – 1,-t+ Determine t for that M belongs to the mediator plane of [AD].

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