Name the octants in which the following points lie: (1,2,3),(4,−2,3)(4,−2,−5),(4,2,−5),(−4,2,−5),(−4,2,5),(−3,−1,6),(2,−4,−7)
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Solution
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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,−2,3) are positive negative and positive respectively. Therefore this point lies in octant IV
The x-coordinate y-coordinate and z-coordinate of point (4,−2,−5) 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,−5) are positive positive and negative respectively. Therefore this point lies in octant V
The x-coordinate, y-coordinate and z-coordinate of point (−4,2,−5) are negative positive, and negative respectively. Therefore this point lies in octant VI
The x-coordinate, y-coordinate and z-coordinate of point (−4,2,5) are negative positive and positive respectively. Therefore this point lies in octant II
The x-coordinate y-coordinate and z-coordinate of point (−3,−1,6) are negative negative and positive respectively. Therefore this point lies in octant III
The x-coordinate, y-coordinate and z-coordinate of point (2,−4,−7) are positive negative and negative respectively. Therefore this point lies in octant VIII
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Similar Questions
Q1
Name the octants in which the following points lie: (1,2,3),(4,−2,3)(4,−2,−5),(4,2,−5),(−4,2,−5),(−4,2,5),(−3,−1,6),(2,−4,−7)
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Q2
Name the octants in which the following points lie (1, 2, 3), (4, -2, 3), (4, -2, -5), (-4, 2, -5), (-4, 2, 5), (-4, 2, 5), (-3, -1, 6), (2, -4, -7)
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Q3
Name the octants in which the following points lie:
(i) (5, 2, 3)
(ii) (–5, 4, 3)
(iii) (4, –3, 5)
(iv) 7, 4, –3)
(v) (–5, –4, 7)
(vi) (–5, –3, –2)
(vii) (2, –5, –7)
(viii) (–7, 2 – 5)