The equation of a plane is 3x– Sy + 7z + 3 - 0. Find a normal vector to the plane. O a) [3, -5, 7] O b) [3, 0, 0) OC [0, -5, 0]

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A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =…

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A: Please refer the attached image for complete solution. THANK YOU.

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A: This is a question from analytical geometry, 3D geometry, and vector algebra.

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A: Explanation of the solution is given below...

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A: Given:-normal, n=3i+5j+6kpoint on the plane, P0=2, 7, 6let (x, y , z) on the plane vector (x-2)i+…

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A: Since you have submitted two questions, we'll answer the first question. For the second question…

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