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Show that the line through the points (1,-1,2), (3,4,-2) is perpendicular to the line through the points (0,3,2) and (3,5,6). |
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Answer» The direction ratios of the line through `(x_1, y_1,z_1)` and `(x_2,y_2,z_2)` are `x_2-x_1, y_2-y_1, z_2-z_1` `THEREFORE` The sum of products of the direction ratios = `2xx3+5xx2+(-4)xx4 = 6+10-16 = 0 ` HENCE, the two lines are perpendicular. |
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