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Mathematics
Problem
A plane has vector equation
r
=
(
9
2
−
5
)
+
λ
(
2
2
1
)
+
μ
(
−
3
1
4
)
\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}
r
=
9
2
−
5
+
λ
2
2
1
+
μ
−
3
1
4
. Find the equation of the plane in scalar product form.
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