Question 1303a

Vectors II: Lines and Planes
Equation of a Plane from the Normal Vector

Question

The line l{l} is given by
l:r=(315)+λ(422), l: \mathbf{r} = \begin{pmatrix} - 3 \\ - 1 \\ 5 \end{pmatrix} + \lambda \begin{pmatrix} 4 \\ - 2 \\ 2 \end{pmatrix},
Find the equation of the plane p{p} that is perpendicular to l{l} and contains the point B(3,1,1).{B \left( - 3, - 1, - 1 \right).}

Attempt

p:{p: }
r{\mathbf{r}\cdot}
({\Biggl(}
){\Biggr)}
={=}

Answer

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