Q4 of 112 Page 1121

A line is drawn in the direction of and it passes through a point with position vector Find the equations of the line in the vector as well as Cartesian forms.

Given: line passes through and is drawn in the direction of


To find: equation of line in vector and Cartesian forms


Formula Used: Equation of a line is


Vector form:


Cartesian form:


where is a point on the line and is a vector parallel to the line.


Explanation:


Since line is drawn in the direction of , it is parallel to


Here, and


Therefore,


Vector form:



Cartesian form:



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