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Consider a three dimensional Cartesian system with origin at O and three rectangular coordinate axes x,y and z-axis. Suppose that the distance between two points P and Q in the space having their coordinates (x _(1), y_(1), z _(1)) and (x _(2), y _(2), z _(2)) respectively be defined by the following formula d (P,Q) =|x_(2)-x_(1)|+ |y_(2)-y_(1)|+ |z _(2) -z_(1)| Although the rormula of distance between two points has been defined in a new way, yet the other definition remain same (like section formula, direction consines ets). So, in general equations of straight line in space, plane in spece remain unchanged. Let A be a point (5,2,3) in the given reference system. Then locus of the point P in the fiest octant satisfying the equation d (O,P) =d (A, P) does not contain |
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Answer» any of the COORDINATES AXES |
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