Find a nonzero vector orthogonal to the plane through the points $P , Q$, and $R$. Select the correct answer.
$P ( 1,0,0 ) , Q ( 5,4,0 ) , R ( 0,4,1 )$
A) $\mathbf { i } - 4 \mathbf { j } + 5 \mathbf { k }$
B) $- 5 \mathbf { i } + \mathbf { j } + 4 \mathbf { k }$
C) $ i - 5 j + 4 k$
D) $4 \mathbf { i } - 4 \mathbf { j } + 20 \mathbf { k }$
E) None of these

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The Answer of Find a nonzero vector orthogonal to the plane through the points $P , Q$, and $R$. Select the correct answer.
$P ( 1,0,0 ) , Q ( 5,4,0 ) , R ( 0,4,1 )$
A) $\mathbf { i } - 4 \mathbf { j } + 5 \mathbf { k }$
B) $- 5 \mathbf { i } + \mathbf { j } + 4 \mathbf { k }$
C) $ i - 5 j + 4 k$
D) $4 \mathbf { i } - 4 \mathbf { j } + 20 \mathbf { k }$
E) None of these

Find a Nonzero Vector Orthogonal to the Plane Through the Points