Consider the plane $3 x - 5 y + z = 5$ .Find the value of a that makes the vector $12 \vec { i } - 20 \vec { j } + \alpha \vec { k }$ perpendicular to the plane.

Name: Consider the plane $3 x - 5 y + z = 5$ .Find the value of a that makes the vector $12 \vec { i } - 20 \vec { j } + \alpha \vec { k }$ perpendicular to the plane.
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The Answer of Consider the plane $3 x - 5 y + z = 5$ .Find the value of a that makes the vector $12 \vec { i } - 20 \vec { j } + \alpha \vec { k }$ perpendicular to the plane.

Consider the Plane 3x−5y+z=53 x - 5 y + z = 53x−5y+z=5

Consider the Plane $3 x - 5 y + z = 5$