Find the equations of the line passing through the point and perpendicular to each of the lines and
Given: line passes through and is perpendicular to each of the lines and
To find: equation of line in Vector and Cartesian form
Formula Used: Equation of a line is
Cartesian form: .
where is a point on the line and is a vector parallel to the line.
If 2 lines of direction ratios and are perpendicular, then
Let the direction ratios of the line be
Direction ratios of the other two lines are and
Since the other two line are perpendicular to the given line, we have