Table of Contents

## What is the shortest distance between two vectors?

The shortest distance between skew lines is equal to the length of the perpendicular between the two lines.

### What is the shortest distance from one point to another?

In Euclidean geometry, the distance from a point to a line is the shortest distance from a given point to any point on an infinite straight line. It is the perpendicular distance of the point to the line, the length of the line segment which joins the point to nearest point on the line.

#### How do you find the shortest distance?

The distance is equal to the length of the perpendicular between the lines.

- Related Articles:
- Consider two parallel lines given by.
- y = mx + c1 ..(i)
- y = mx + c2 ..(ii)
- Here line (i) intersects the x axis at A. So y = 0 at that point.
- We can write (i) as 0 = mx + c1
- So mx = -c1
- x = -c1/m.

**How do you find the shortest distance in a vector?**

**What is vector equation of a plane?**

Answer: When you know the normal vector of a plane and a point passing through the plane, the equation of the plane is established as a (x – x1) + b (y– y1) + c (z –z1) = 0.

## How do you find the shortest distance between a point and a plane vector?

To find the shortest distance between point and plane, we use the formula d = |Axo + Byo + Czo + D |/√(A2 + B2 + C2), where (xo, yo, zo) is the given point and Ax + By + Cz + D = 0 is the equation of the given plane.

### How do you find the shortest distance between a plane and a line?

The shortest distance from a point to a plane is along a line perpendicular to the plane. Therefore, the distance from point P to the plane is along a line parallel to the normal vector, which is shown as a gray line segment.

#### What is the distance between two planes?

The distance between two planes can be determined using two methods. We can use the formula |d2 – d1|/√(a2 + b2 + c2) or using the point-plane distance formula.