# Find the point on the plane nearest the origin

The best way to Find the point on the plane nearest the origin is to eliminate as many options as possible.

## Find the point on the line y = -2x + 3 closest to the origin. D

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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## Distances and projections of points, lines and planes [Guide

3 Find the equation of the plane that contains the point A(2, 5, 1) and the line of Ok, we'll try to do better next time.
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## Solved exercises on the equation of the plane

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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find; a) Equation of the plane through r and through (1, 3, 8) b

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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