Find a nonzero vector orthogonal to the plane through the points $P , Q$, and $R$.
$$P ( 1,0,0 ) , Q ( 7,8,0 ) , R ( 0,8,1 )$$
A) $\mathbf { i } - 7 \mathbf { j } + 8 \mathbf { k }$
B) $- 7 \mathbf { i } + \mathbf { j } + 8 \mathbf { k }$
C) $i - 8 j + 7 k$
D) $8 \mathbf { i } - 6 \mathbf { j } + 56 \mathbf { k }$
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 $R$.
$$P ( 1,0,0 ) , Q ( 7,8,0 ) , R ( 0,8,1 )$$
A) $\mathbf { i } - 7 \mathbf { j } + 8 \mathbf { k }$
B) $- 7 \mathbf { i } + \mathbf { j } + 8 \mathbf { k }$
C) $i - 8 j + 7 k$
D) $8 \mathbf { i } - 6 \mathbf { j } + 56 \mathbf { k }$
E) None of these

Find a Nonzero Vector Orthogonal to the Plane Through the Points