Name the octants in which the following points lie: (1,2,3),(4,β2,3)(4,β2,β5),(4,2,β5),(β4,2,β5),(β4,2,5),(β3,β1,6),(2,β4,β7)Β
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The x-coordinate y-coordinate andz-coordinate of point (1,2,3) are all positive. Therefore this point lies in octant I
The x-coordinate y-coordinate and z-coordinate of point (4,β2,3) are positive negative and positive respectively. Therefore this point lies in octant IV
The x-coordinate y-coordinate and z-coordinate of point (4,β2,β5) are positive negative and negative respectively. Therefore this point lies in octant VIII
The x-coordinate, y-coordinate and z-coordinate of point (4,2,β5) are positive positive and negative respectively. Therefore this point lies in octant V
The x-coordinate, y-coordinate and z-coordinate of point (β4,2,β5) are negative positive, and negative respectively. Therefore this point lies in octant VI
The x-coordinate, y-coordinate and z-coordinate of point (β4,2,5) are negative positive and positive respectively. Therefore this point lies in octant II
The x-coordinate y-coordinate and z-coordinate of point (β3,β1,6) are negative negative and positive respectively. Therefore this point lies in octant III
The x-coordinate, y-coordinate and z-coordinate of point (2,β4,β7) are positive negative and negative respectively. Therefore this point lies in octant VIIIΒ Β Β
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