Distance between two points P(x1,y1,z1) & Q(x2,y2,z2) Calculator

Category	Math ↺
Math	3-D Geometry ↺
3-D-Geometry	Coordinate Geometry ↺
Coordinate-Geometry	Distance in 3D space ↺

✖x1 coordinate in 3D space is a point on x axis in 3 dimensional space corresponding to point P.ⓘ x1 coordinate in 3D space [x1]			+10% -10%
✖x2 coordinate in 3D space is a point on x axis in 3 dimensional space corresponding to point Q.ⓘ x2 coordinate in 3D space [x2]			+10% -10%
✖y1 coordinate in 3D space is a point on y axis in 3 dimensional space corresponding to point P.ⓘ y1 coordinate in 3D space [y1]			+10% -10%
✖y2 coordinate in 3D space is a point on y axis in 3 dimensional space corresponding to point Q.ⓘ y2 coordinate in 3D space [y2]			+10% -10%
✖z1 coordinate in 3D space is a point on z axis in 3 dimensional space corresponding to point P.ⓘ z1 coordinate in 3D space [z1]			+10% -10%
✖z2 coordinate in 3D space is a point on z axis in 3 dimensional space corresponding to point Q.ⓘ z2 coordinate in 3D space [z2]			+10% -10%

✖distance between points in 3D space is the length of line connecting two points P and Q in 3D space.ⓘ Distance between two points P(x1,y1,z1) & Q(x2,y2,z2) [d]

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Distance between two points P(x1,y1,z1) & Q(x2,y2,z2)

Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 500+ more calculators!

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has verified this Calculator and 400+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

x coordinate of a point given distance from origin to point and y & z coordinate of that point

x1 coordinate in 3D space= sqrt((distance in 3D space)^2- (y1 coordinate in 3D space)^2- (z1 coordinate in 3D space)^2) GO

y coordinate of a point given distance from origin to point and x & z coordinate of that point

y1 coordinate in 3D space= sqrt((distance in 3D space)^2- (x1 coordinate in 3D space)^2- (z1 coordinate in 3D space)^2) GO

z coordinate of a point given distance from origin to point and x & y coordinate of that point

z1 coordinate in 3D space= sqrt((distance in 3D space)^2- (x1 coordinate in 3D space)^2- (y1 coordinate in 3D space)^2) GO

Distance of a point from origin

distance in 3D space= sqrt((x1 coordinate in 3D space)^2+ (y1 coordinate in 3D space)^2+ (z1 coordinate in 3D space)^2) GO

z coordinate of a point given y coordinate and Perpendicular distance of that point from x axis

z1 coordinate in 3D space=sqrt ((Perpendicular distance from point to axis)^2- (y1 coordinate in 3D space)^2) GO

z coordinate of a point given x coordinate and Perpendicular distance of that point from y axis

z1 coordinate in 3D space=sqrt ((Perpendicular distance from point to axis)^2- (x1 coordinate in 3D space)^2) GO

x coordinate of a point given z coordinate and Perpendicular distance of that point from y axis

x1 coordinate in 3D space=sqrt ((Perpendicular distance from point to axis)^2- (z1 coordinate in 3D space)^2) GO

x coordinate of a point given y coordinate and Perpendicular distance of that point from z axis

x1 coordinate in 3D space=sqrt ((Perpendicular distance from point to axis)^2- (y1 coordinate in 3D space)^2) GO

Perpendicular distance of a point from z axis given x & y coordinate of that point

Perpendicular distance from point to axis= sqrt ((x1 coordinate in 3D space)^2+(y1 coordinate in 3D space)^2) GO

Perpendicular distance of a point from y axis given x & z coordinate of that point

Perpendicular distance from point to axis= sqrt ((x1 coordinate in 3D space)^2+(z1 coordinate in 3D space)^2) GO

Perpendicular distance of a point from x axis given y & z coordinate of that point

Perpendicular distance from point to axis= sqrt ((y1 coordinate in 3D space)^2+(z1 coordinate in 3D space)^2) GO

Distance between two points P(x1,y1,z1) & Q(x2,y2,z2) Formula

distance between points in 3D space=sqrt((x1 coordinate in 3D space-x2 coordinate in 3D space)^2+ (y1 coordinate in 3D space-y2 coordinate in 3D space)^2+ (z1 coordinate in 3D space-z2 coordinate in 3D space)^2)
d=sqrt((x1-x2)^2+ (y1-y2)^2+ (z1-z2)^2)

More formulas

Distance of a point from origin GO

Perpendicular distance of a point from z axis given x & y coordinate of that point GO

Perpendicular distance of a point from y axis given x & z coordinate of that point GO

Perpendicular distance of a point from x axis given y & z coordinate of that point GO

Projection of a line PQ given direction cosines of line AB making angle with line PQ GO

Projection of a line on x axis GO

Projection of a line on y axis GO

Projection of a line on z axis GO

length of line given projections of that line on x, y & z axis GO

Projection of line on z axis given length of line & direction ratio of line w.r.to z axis GO

Projection of line on y axis given length of line & direction ratio of line w.r.to y axis GO

Projection of line on x axis given length of line & direction ratio of line w.r.to x axis GO

length of line given direction ratio and projection of line w.r.to x axis GO

length of line given direction ratio and projection of line w.r.to y axis GO

length of line given direction ratio and projection of line w.r.to z axis GO

⊥ distance from the origin to the plane given direction cosine w.r.to z axis GO

⊥ distance from the origin to the plane given direction cosine w.r.to y axis GO

⊥ distance from the origin to the plane given direction cosine w.r.to x axis GO

⊥ distance from the origin to the plane given direction cosines of normal from origin to plane GO

Distance of a point from plane GO

Distance between plane in normal formal and a point GO

distance between 2 || planes of form ax + by + cz + d1 = 0 & ax + by + cz + d2 = 0 GO

radius of sphere of form (x – a)2 + (y – b)2 + (z – c)2 = r2 GO

radius of sphere of form x2 + y2 + z2 + 2ux + 2vy + 2wz + d = 0 GO

Radius of sphere of form x2+y2+z2+(2u/a)x+(2v/a)y+(2w/a)z+ d/a=0 GO

D in std equation of a plane given dist. b/w || planes,D.R.s taking dist. -ve GO

What is 3D coordinate system?

The three mutually perpendicular lines in a space which divides the space into eight parts and if these perpendicular lines are the coordinate axes, then it is said to be a coordinate system.

How to Calculate Distance between two points P(x1,y1,z1) & Q(x2,y2,z2)?

Distance between two points P(x1,y1,z1) & Q(x2,y2,z2) calculator uses distance between points in 3D space=sqrt((x1 coordinate in 3D space-x2 coordinate in 3D space)^2+ (y1 coordinate in 3D space-y2 coordinate in 3D space)^2+ (z1 coordinate in 3D space-z2 coordinate in 3D space)^2) to calculate the distance between points in 3D space, Distance between two points P(x1,y1,z1) & Q(x2,y2,z2) is defined as the length of line connecting two points P and Q in 3D space. distance between points in 3D space and is denoted by d symbol.

How to calculate Distance between two points P(x1,y1,z1) & Q(x2,y2,z2) using this online calculator? To use this online calculator for Distance between two points P(x1,y1,z1) & Q(x2,y2,z2), enter x1 coordinate in 3D space (x1), x2 coordinate in 3D space (x2), y1 coordinate in 3D space (y1), y2 coordinate in 3D space (y2), z1 coordinate in 3D space (z1) and z2 coordinate in 3D space (z2) and hit the calculate button. Here is how the Distance between two points P(x1,y1,z1) & Q(x2,y2,z2) calculation can be explained with given input values -> 3.162278 = sqrt((2-3)^2+ (2-2)^2+ (2-5)^2).

FAQ

What is Distance between two points P(x1,y1,z1) & Q(x2,y2,z2)?

Distance between two points P(x1,y1,z1) & Q(x2,y2,z2) is defined as the length of line connecting two points P and Q in 3D space and is represented as d=sqrt((x1-x2)^2+ (y1-y2)^2+ (z1-z2)^2) or distance between points in 3D space=sqrt((x1 coordinate in 3D space-x2 coordinate in 3D space)^2+ (y1 coordinate in 3D space-y2 coordinate in 3D space)^2+ (z1 coordinate in 3D space-z2 coordinate in 3D space)^2). x1 coordinate in 3D space is a point on x axis in 3 dimensional space corresponding to point P, x2 coordinate in 3D space is a point on x axis in 3 dimensional space corresponding to point Q, y1 coordinate in 3D space is a point on y axis in 3 dimensional space corresponding to point P, y2 coordinate in 3D space is a point on y axis in 3 dimensional space corresponding to point Q, z1 coordinate in 3D space is a point on z axis in 3 dimensional space corresponding to point P and z2 coordinate in 3D space is a point on z axis in 3 dimensional space corresponding to point Q.

How to calculate Distance between two points P(x1,y1,z1) & Q(x2,y2,z2)?

Distance between two points P(x1,y1,z1) & Q(x2,y2,z2) is defined as the length of line connecting two points P and Q in 3D space is calculated using distance between points in 3D space=sqrt((x1 coordinate in 3D space-x2 coordinate in 3D space)^2+ (y1 coordinate in 3D space-y2 coordinate in 3D space)^2+ (z1 coordinate in 3D space-z2 coordinate in 3D space)^2). To calculate Distance between two points P(x1,y1,z1) & Q(x2,y2,z2), you need x1 coordinate in 3D space (x1), x2 coordinate in 3D space (x2), y1 coordinate in 3D space (y1), y2 coordinate in 3D space (y2), z1 coordinate in 3D space (z1) and z2 coordinate in 3D space (z2). With our tool, you need to enter the respective value for x1 coordinate in 3D space, x2 coordinate in 3D space, y1 coordinate in 3D space, y2 coordinate in 3D space, z1 coordinate in 3D space and z2 coordinate in 3D space and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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