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Show that the line joining the origin to...

Show that the line joining the origin to the point `(2,1,1)` is perpendicular to the line determined by the points `(3,5,-1)` and `(4,3,-1)dot`

Text Solution

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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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