Find the equations of the line passing through the point and parallel to the line . Also find the vector form of this equation so obtained.
Given: line passes through and is parallel to the line
To find: equation of line in vector and Cartesian form
Formula Used: Equation of a line is
where is a point on the line and is a vector parallel to the line.
Since the line say is parallel to another line say has the same direction ratios as that of
Since the equation of is
Vector form of the line is:
Cartesian form of the line is: