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Vectors - equation of a 3d line?
If you have the equation of a 3d line, say 3i+4j+4k + λ(i+2j+7k), how do you find an alternative equation for it, such that the position vector is perpendicular to the direction vector?
Any help would be really appreciated!
1 Answer
- 9 years agoFavorite Answer
the direction vector (1; 2; 7), so you can add a(i+2j+7k), where a is any number and you'll get another equation for the same line. the new position vector is (3+a; 4+2a; 4+7a), if you dot product it with the direction vector, you'll get an equation dependant of a, find a that makes this equation = 0 and you get the equation you were looking for.
