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} 1 \\ 0 \\ 5 \end{pmatrix} + \lambda \begin{pmatrix} 4 \\ 1 \\ 3 \end{pmatrix}, \; \lambda \in \mathbb{R}.

Find the equation of the plane

{p}

containing both

{l}

and the point

{A \left( - 5, 4, - 1 \right).}

{p: }

{\mathbf{r}\cdot}

{\Biggl(}

{\Biggr)}

{=}