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} - 3 \\ 29 \\ - 1 \end{pmatrix} = 65.

Find the equation of the plane

{p}

that is parallel to

{p_1}

and contains the point

{A \left( 3, 1, 4 \right).}

{p: }

{\mathbf{r}\cdot}

{\Biggl(}

{\Biggr)}

{=}