A plane has vector equation

MATHEMATICS · Subjective · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A plane has vector equation r=(92−5)+λ(221)+μ(−314)\mathbf{r} = \begin{pmatrix} 9 \\ 2 \\ -5 \end{pmatrix} + \lambda \begin{pmatrix} 2 \\ 2 \\ 1 \end{pmatrix} + \mu \begin{pmatrix} -3 \\ 1 \\ 4 \end{pmatrix} . Find the equation of the plane in scalar product form.

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