InterviewSolution
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InterviewSolution
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Show that the line through the points `(4, 7, 8), (2, 3, 4)`is parallel to the line through the points `( 1, 2, 1)`,`(1, 2, 5)`. |
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Answer» Direction ratios of the line passing through the points `(4,7,8),(2,3,4)` are `a_(1),b_(1),c_(1) = 2-4,3-7,4-8` `= - 2,-4,-4` Direction of the line passing through the points `(-1,-2,1),(1,2,5)` `a_(2),b_(2),c_(2)=1+1,2+2,5-1=2,4,4` Now, `(a_(1))/(a_(2)) = (b_(1))/(b_(2)) = (c_(1))/(c_(2))` Therefore, two lines are parallel . |
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