Find the octant in which the points $(- 3, 1, 2) and (- 3, 1, - 2)$ lie.

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Solution

From the Table, the point $(- 3, 1, 2)$ lies in octant II and the point $(- 3, 1, - 2)$ lies in octant VI.

Octants

Coordinates

I

II

III

IV

V

VI

VII

VIII

x

+

–

–

+

+

–

–

+

y

+

+

–

–

+

+

–

–

z

+

+

+

+

–

–

–

–

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Q. The circum radius of the triangle formed by the points

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and

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is:

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Coordinate Axes in Three Dimensional Space

Standard XII Mathematics

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Octants Coordinates	I	II	III	IV	V	VI	VII	VIII
x	+	–	–	+	+	–	–	+
y	+	+	–	–	+	+	–	–
z	+	+	+	+	–	–	–	–

Find the octant in which the points (−3,1,2) and (−3,1,−2) lie.

From the Table, the point (−3,1,2) lies in octant II and the point (−3,1,−2) lies in octant VI. Octants Coordinates I II III IV V VI VII VIII x + – – + + – – + y + + – – + + – – z + + + + – – – –

Find the octant in which the points $(- 3, 1, 2) and (- 3, 1, - 2)$ lie.

From the Table, the point $(- 3, 1, 2)$ lies in octant II and the point $(- 3, 1, - 2)$ lies in octant VI.

Octants

Coordinates

I

II

III

IV

V

VI

VII

VIII

x

+

–

–

+

+

–

–

+

y

+

+

–

–

+

+

–

–

z

+

+

+

+

–

–

–

–