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( 1, 1, - 5 \right)}

and is parallel to the vectors

{\begin{pmatrix} - 1 \\ 1 \\ 1 \end{pmatrix}}

and

{\begin{pmatrix} - 1 \\ - 1 \\ 2 \end{pmatrix}.}

{p: }

{\mathbf{r}\cdot}

{\Biggl(}

{\Biggr)}

{=}