Q. 11

Find the vector equation of the line passing through the point with position vector and perpendicular to the plane

Answer :

Given - and the vector has position vector


To find – The vector equation of the line passing through (1, - 2, 5) and perpendicular to the given plane


Tip – The equation of a plane can be given by where is the normal of the plane


A line parallel to the given plane will be in the direction of the normal and will have the direction ratios same as that of the normal.


Formula to be used – If a line passes through the point (a, b, c) and has the direction ratios as (a’, b’, c’), then its vector equation is given by where λ is any scalar constant


The required equation will be for some scalar λ


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