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Find a Nonzero Vector Orthogonal to the Plane Through the Points

Question 34

Multiple Choice

Find a nonzero vector orthogonal to the plane through the points P, Q, and R. P(3,0,0) ,Q(5,6,0) ,R(0,6,3) P ( 3,0,0 ) , Q ( 5,6,0 ) , R ( 0,6,3 )


A) i6j+5k\mathbf { i } - 6 \mathbf { j } + 5 \mathbf { k }
B) i5j+6k\mathbf { i } - 5 \mathbf { j } + 6 \mathbf { k }
C) 18i6j+30k18 \mathbf { i } - 6 \mathbf { j } + 30 \mathbf { k }
D) 5i+j+6k- 5 \mathbf { i } + \mathbf { j } + 6 \mathbf { k }
E) None of these

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