$\"\"$

Vector equation of the plane $\"\"$ with the point $\"\"$ and normal vector $\"\"$ is $\"\"$ .

$\"\"$

The plane through the point $\"\"$ and perpendicular through the line $\"\"$ .

Find the normal vector.

The normal vector is same as the direction vector of the perpendicular line.

$\"\"$ .

Substitute above values in the vector equation.

$\"\"$ .

Where $\"\"$ and $\"\"$ .

$\"\"$ .

$\"\"$

The equation of the plane is $\"\"$ .

$\"\"$

The equation of the plane is $\"\"$ .