Find the Cartesian and the vector equation of a plane which passes through the point (3, 2, 0) and contains the line [math]\frac{x-3}{1}=\frac{y-6}{5}=\frac{z-4}{4}[/math]
Write the coordinates of the the given point on the plane.
Write the position vector of that point.
Write the coordinates of the known point on the line [math]\frac{x-3}{1}=\frac{y-6}{5}=\frac{z-4}{4}[/math]
How many known points are known there on the required plane.
Write the vector joining two points (3,2,0) and (3,6,4).
Write the dr's of the line [math]\frac{x-3}{1}=\frac{y-6}{5}=\frac{z-4}{4}[/math][br]
Find normal to the plane([math]\vec{n}=\vec{u}\times\vec{v}[/math]).
Write Formula for vector equation of the plane.
Write the equation of the required plane in Vector form.
Write the equation of the required plane in Cartesian form.