Question 1303c

Vectors II: Lines and Planes

Equation of a Plane from III

Question

The line

{l}

is given by

l: \mathbf{r} = \begin{pmatrix} 3 \\ 4 \\ 1 \end{pmatrix} + \lambda \begin{pmatrix} 5 \\ - 4 \\ 4 \end{pmatrix}, \; \lambda \in \mathbb{R}.

Find the equation of the plane

{p}

containing both

{l}

and the point

{A \left( 5, 5, 4 \right).}

{p: }

{\mathbf{r}\cdot}

{\Biggl(}

{\Biggr)}

{=}