Find the image of the point (2, -1, 5) in the line
Find the image of the point in the line
Answer
Given: Point
Equation of line
The equation of line can be re-arranged as
The general point on this line is
Let be the foot of the perpendicular drawn from the point on the given line. Then, this point is for some fixed value of .
D.r.’s of PN are
D.r.’s of the given line is
Since, PN is perpendicular to the given line, we have,
Then, the image of the point is
Therefore, the image is .