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Show that the line joining the origin to the point`(2,1,1)`is perpendicularto the line determined by the points `(3,5,-1)`and `(4,3,-1)dot` |
Answer» The direction ratios of the line joining the points `(0,0,0)` and `(2,1,1)` are `[ (2-0),(1-0),(1-0) ]` i.e., `(2,1,1)`. `:. a_(1)a_(2)+b_(1)b_(2)+c_(1)c_(2)` `=2xx1+1xx(-2)+1xx0 = 0` Therefore, the given lines are mutually perpendicular. |
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