Problem 1: Consider the plane P of equation: X - 2y4z - 80 1) Consider the...

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Problem 1: Consider the plane P of equation: X - 2y4z - 80 1) Consider the point A = (-6, 3, 5). Check that A is not on the plane P. 2) Find the parametric equations of the line (L) going through the point A and orthogonal to the plane P. 3) Find the coordinates of the intersection point between the line (L) and the plane P. 4) We define the distance between a point and a plane as the distance between the point and its orthogonal projection onto the plane. Evaluate the distance between the point A and the plane P. Problem 1: Consider the plane P of equation: X - 2y4z - 80 1) Consider the point A = (-6, 3, 5). Check that A is not on the plane P. 2) Find the parametric equations of the line (L) going through the point A and orthogonal to the plane P. 3) Find the coordinates of the intersection point between the line (L) and the plane P. 4) We define the distance between a point and a plane as the distance between the point and its orthogonal projection onto the plane. Evaluate the distance between the point A and the plane P.

Answer rating: 100% (QA)

Solution The equation of the plane P is x 2y 4z 80 1Point A 635 x2y8623458 6... View the full answer