Question 1303d

Vectors II: Lines and Planes

Equation of a Plane from IV

Question

The plane

{p_1}

is given by

p_1: \mathbf{r} \cdot \begin{pmatrix} 2 \\ 7 \\ 2 \end{pmatrix} = 27.

Find the equation of the plane

{p}

that is parallel to

{p_1}

and contains the point

{A \left( 4, - 4, 1 \right).}

{p: }

{\mathbf{r}\cdot}

{\Biggl(}

{\Biggr)}

{=}