Q1 of 84 Page 29

Find the distance between the following pairs of points :

A(3, 2, -1) and B (-1, -1, -1)

Given: A(3, 2, -1) and Q(-1, -1, -1)


To find: Distance between given two points


Formula used:


The distance between any two points (a, b, c) and (m, n, o) is given by,



Therefore,


Distance between (3, 2, -1) and (-1, -1, -1) is







= 5


Hence, Distance between A and B is 5 units


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7

The coordinates of a point are (3, -2, 5). Write down the coordinates of seven points such that the absolute values of their coordinates are the same as those of the coordinates of the given point.

 1

Find the distance between the following pairs of points :

P(1, -1, 0) and Q (2, 1, 2)

 2

Find the distance between the points P and Q having coordinates (-2, 3, 1) and (2, 1, 2).

 3

Using distance formula prove that the following points are collinear :

A(4, -3, -1), B(5, -7, 6) and C(3, 1, -8)