CBSE Class 12-science Answered
Show that the line segment joining the points (– 1, 2, – 3) and (1, 4, 1) is parallel to the line segment joining the points (1, 2, 3) and (2, 3, 5).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
The direction ratios of the first line segment is 1 + 1, 4 – 2, 1 + 3 i.e., 2, 2, 4 and the direction ratios of the second line segment is 2 – 1, 3 – 2, 5 – 3 i.e., 1, 1, 2.
Let the angle between the both line segments be
, then
, then
Thus, the lines segments are parallel.
Answered by | 04 Jun, 2014, 03:23: PM
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