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Chapter 12 Class 11 - Intro to Three Dimensional Geometry
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Ex 12.1, 3 - Name the octants in which the points lie - Ex 12.1

Ex 12.1,  3 - Chapter 12 Class 11 Introduction to Three Dimensional Geometry - Part 2
Ex 12.1,  3 - Chapter 12 Class 11 Introduction to Three Dimensional Geometry - Part 3

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Ex 12.1, 3 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) (i) (1, 2, 3) Here x is positive, y is positive and z is positive. So it lies in I octant. (4, −2, 3) Here x is positive, y is negative and z is positive. So it lies in IV octant (iii) (4, −2, −5) Here, x is positive, y is negative and z is negative. So, it lies in VIII octant (iv) (4, 2, −5) Here, x is positive, y is positive and z is negative. So, it lies in V octant. (v) (−4, 2, −5) Here, x is negative, y is positive and z is negative. So, it lies in VI octant (vi) (−4, 2, 5) Here, x is negative, y is positive and z is positive. So, it lies in II octant. (vii) (−3, −1, 6) Here, x is negative, y is negative and z is positive. So, it lies in III octant. (2, −4, −7) Here x is positive, y is negative and z is negative. So, it lies in VIII octant.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.