Statement 1: A plane passes through the point `A(2,1,-3)dot` If distance of this plane from origin is maximum, then its equation is `2x+y-3z=14.` Statement 2: If the plane passing through the point `A( vec a)` is at maximum distance from origin, then normal to the plane is vector ` vec adot`

Options

A. Both the statements are true, and Statement 2 is the correct explanation for Statement 1.
B. Both the Statements are true, but Statement 2 is not the correct explanation for Statement 1.
C. Statement 1 is true and Statement 2 is false.
D. Statement 1 is false and Statement 2 is true.

Explanation

To solve the problem, we need to verify the two statements regarding the plane that passes through the point \( A(2, 1, -3) \) and its maximum distance from the origin.

### Step 1: Understand the Plane Equation
The equation of a plane can be expressed in the form:
\[ Ax + By + Cz + D = 0 \]
where \( (A, B, C) \) is the normal vector to the plane.
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