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The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line.
The distance between a point and a line, is defined as the shortest distance between a fixed point and any point on the line. It is the length of the line segment that is perpendicular to the line and passes through the point.
Learn how to calculate the shortest distance between a point and a line using a formula, a vectorial approach, and examples. See the definition, the proof, and the applications of this concept in geometry and calculus.
Learn how to find the perpendicular distance of a point from a line easily with a formula. For the formula to work, the line must be written in the general form.
Learn how to find the distance from a point to a line using slope-intercept form and the Pythagorean Theorem. Watch a video example and see questions and tips from other learners.
The distance from the point to the line is the height of this paralellogram when we consider $\vec{v}=(1,1,1)$ as basis. So the distance is the area divide by the basis. We get the area using the cross product.
Distance from a point to a line — is equal to length of the perpendicular distance from the point to the line.
