Q. 314.7( 3 Votes )

Find the distance of the point (2, 4, –1) from the line

Answer :

Given: - Point P(2, 4, – 1) and equation of line


Let, Q be a point through which line passes


Thus from given equation of line coordinates of Q is


Q( – 5, – 3,6)


As we know line equation with direction ratio of given line is parallel to given line.


Hence Line is parallel to


Now,




Now let's find cross product of this two vectors




The magnitude of this cross product




And Magnitude of




Thus distance of point from line is




units

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