Q1 of 25 Page 273

Find the distance between the following pairs of points:

(2, 3, 5) and (4, 3, 1)

Let P be (2, 3, 5) and Q be (4, 3, 1)


Distance PQ


Here,


x1 = 2, y1 = 3, z1 = 5


x2 = 4, y2 = 3, z2 = 1


Distance PQ






Thus, the required distance is units.


More from this chapter

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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).

 4

Fill in the blanks:

(i) The x-axis and y-axis taken together determine a plane known as _______.


(ii) The coordinates of points in the XY-plane are of the form _______.


(iii) Coordinate planes divide the space into ______ octants.

 1

Find the distance between the following pairs of points:

(–3, 7, 2) and (2, 4, –1)

 1

Find the distance between the following pairs of points:

(–1, 3, – 4) and (1, –3, 4)