Let L be the line given by x = 2

Question

Let L be the line given by x = 2 - t, y = 1 + t, and z = 1 + 2t. L intersects the plane 2x + y - z = 1 at the point P = (1, 2, 3). Find parametric equations for the line through P which lies in the plane and is perpendicular to L.

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The Answer of Let L be the line given by x = 2 - t, y = 1 + t, and z = 1 + 2t. L intersects the plane 2x + y - z = 1 at the point P = (1, 2, 3). Find parametric equations for the line through P which lies in the plane and is perpendicular to L.