Equation of the Plane Containing a Line and a Point
Problem
Find the Cartesian and the vector equation of a plane which passes through the point (3, 2, 0) and contains the line
Step 1.
Write the coordinates of the the given point on the plane.
Step 2.
Write the position vector of that point.
Step 3.
Write the coordinates of the known point on the line
Step 4.
How many known points are known there on the required plane.
Step 5.
Write the vector joining two points (3,2,0) and (3,6,4).
Step 6.
Write the dr's of the line
Step 7.
Find normal to the plane().
Step 8.
Write Formula for vector equation of the plane.
Step 9.
Write the equation of the required plane in Vector form.
Step 10.
Write the equation of the required plane in Cartesian form.