The equation of the plane passing throug

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The equation of the plane passing through the point \(P_{0}(-3,0,7)\) and perpendicular to the vector \(\vec{x}=5\hat{i}+2\hat{j}-\hat{k}\) is

Options:

\(5x+2y+z-22=0\)

\(5x+2y+2z+22=0\)

\(5x+2y-z+22=0\)

\(5x+2y-2z-22=0\)

Correct Answer:

\(5x+2y-z+22=0\)

Explanation:

Find the equation of plane and then apply perpendicularity condition.