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Coordinates of a Point in Space

Name the octa...

Question

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

Point (1, 2, 3) lies in Ist Octant.

Point (4, -2, 3) lies in IVth Octant.

Point (4, -2, -5) lies in VIIIth Octant.

Point (4, 2, -5) lies in Vth Octant.

Point (-4, 2, -5) lies in VIth Octant.

Point (-4, 2, 5) lies in IInd Octant.

Point (-3, -1, 6) lies in IIIrd Octant.

Point (2, -4, -7) lies in VIIIth Octant.

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Similar questions

Q. 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)

How many of these are correctly matched ?

Coordinates of a point Name of the octant

1. $(1, 2, 3) P . I$

2. $(4, - 2, 3) Q . I V$

3. $(4, - 2, - 5) R . V I I I$

4. $(4, 2, - 5) S . V$

5. $(- 4, 2, - 5) T . V I$

6. $(- 4, 2, 5) U . I I$

7. $(- 3, - 1, 6) V . I I I$

8. $(2, - 4, - 7) W . V I I I$

How many of these are correctly matched ?

Coordinates of a point Name of the octant

1. $(1, 2, 3) P . I$

2. $(4, - 2, 3) Q . I V$

3. $(4, - 2, - 5) R . V I I I$

4. $(4, 2, - 5) S . V$

5. $(- 4, 2, - 5) T . V I$

6. $(- 4, 2, 5) U . I I$

7. $(- 3, - 1, 6) V . I I I$

8. $(2, - 4, - 7) W . V I I I$

Q. 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)

A

B

in space have the co-ordinates

(2, - 1, 3)

(4, 2, 5)

respectively. Find vector

A B

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