The best way to Find the point on the plane nearest the origin is to eliminate as many options as possible.
3 30. Find a line that is perpendicular to the plane x y + z + 1 and passes through the point in that plane that is closest to the origin. z = The
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α, β, γ are the director angles of the line normal to the plane and ρ is the distance from the plane to the origin of coordinates. Therefore it results
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Projection of a point onto a plane. Projection of a line To find we can project two points of the line onto the plane.
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An arbitrary point on the line has coordinates (x, -2x + 3). Distance from a point on the line to the origin. d = √x2 + (-2x + 3)2.
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