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Q: What is the shortest distance between a point and a line?

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the perpendicular distance to the line is the shortest.

a straight line.

A line is the shortest distance between two points. I can't understand what this question asks, but it seems to be asking for that particular answer.

Yes.

The shortest distance between four points is a straight line to and from each individual point. If all four points are aligned, the result will be a single straight line through all four points.

In plane geometry, the shortest distance between two points is a line. In spherical geometry, the shortest distance between two points is a segment of a great circle. The distance between one point and another is known as the displacement.

Its perpendicular distance.

The distance postulate is such: the shortest distance between two points is a line.(xy, x-y) The distance postulate is such: the shortest distance between two points is a line.(xy, x-y)

The shortest distance between 2 parallel lines is a perpendicular drawn between 2 parallel lines the diagram shows it clearly 1 parallel line ------------------------------------|-------------------------------------------------------------------- | | | the vertical line is the shortest distance | | ------------------------------------|------------------------------------------------------------------- 2nd parallel line

A "Great circle". A straight line on a Mercator projection is a "rhumb line", and is not the shortest distance.

At their point of crossing, the space between two crossnig line is 0. From any point on either line you can always drop a perpendicular to the other line and this will be the shortest distance from that point to the other line.

The shortest path is a line perpendicular to the given line that passes through the given point.

A straight line is the shortest distance between two points. In meditation, a straight line is the shortest distance between you and your goal. Straight line meditation is meditation minus the wandering: the new feedback meditation method.

No it is measured from the edge

Line = the shortest distance between two points.

A line is the shortest distance between two points.

a straight line

a straight line

rays

If the two lines are parallel, then the shortest distance between them is a single, fixed quantity. It is the distance between any point on one line along the perpendicular to the line.Now consider the situation where the two lines meet at a point X, at an angle 2y degrees. Suppose you wish to find points on the lines such that the shortest distance between them is 2d units. [The reason for using multiples of 2 is that it avoids fractions].The points are at a distance d*cos(y) from X, along each of the two lines.

The shortest distance between two points is... a straight line.

When you curve the line you are travelling you are no longer going directly from one point to the other. If you want to go from one point to another you would want to go directly to the second point.

Radius is the shortest distance via straight line between the center point of the circle and its perimeter. Diameter is the greatest distance via straight line from one perimeter of the circle to the opposite perimeter. Diameter = 2x Radius.

If you translate (move without rotation) a copy of the line towards the curve, the first point where the line touches the curve (the tangent to the curve with the slope of the original line) will be the point on the curve closest to the line. Draw a connecting line from this tangent point to the original line, intersecting that original line at right angles. Measure the connecting segment. It is the shortest distance. Vector analysis will give a mathematically strict solution, I do not have the ability to explain this in sufficient detail.

The question is curiously vague. Do the two lines exist in the same plane? If they do, then they must intersect somewhere -- unless they are parallel. For non-parallel lines, the distance between the two lines at the point of intersection is zero. For parallel lines, the shortest distance between them is the length of the line segment that is perpendicular to both. For intersecting lines, there is an infinite number of distances between the infinite number of pairs of points on the lines. But for any pair of points -- one point on line A and another on line B -- the shortest distance between them will still be a straight line. Given two lines in 3D (space) there are four possibilities # the lines are collinear (they overlap) # the lines intersect at one point # the lines are parallel # the lines are skew (not parallel and not intersecting) The question of "shortest distance" is only interesting in the skew case. Let's say p0 and p1 are points on the lines L0 and L1, respectively. Also d0 and d1 are the direction vectors of L0 and L1, respectively. The shortest distance is (p0 - p1) * , in which * is dot product, and is the normalized cross product. The point on L0 that is nearest to L1 is p0 + d0(((p1 - p0) * k) / (d0 * k)), in which k is d1 x d0 x d1.