Question 1303b

Vectors II: Lines and Planes

Equation of a Plane from Direction Vectors

Question

Find the equation of the plane

{p}

that contains the point

{A \left( 3, 2, 4 \right)}

and is parallel to the vectors

{\begin{pmatrix} 1 \\ 0 \\ 4 \end{pmatrix}}

and

{\begin{pmatrix} - 4 \\ 5 \\ - 2 \end{pmatrix}.}

{p: }

{\mathbf{r}\cdot}

{\Biggl(}

{\Biggr)}

{=}