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

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

✖Direction cosine with respect to x axis is the cosine of angle made by a line w.r.to x axis.ⓘ Direction cosine with respect to x axis [l]			+10% -10%
✖x coordinate in 3D space is defined as the a point on x axis.ⓘ x coordinate in 3D space [x]			+10% -10%
✖Direction cosine with respect to y axis is the cosine of angle made by a line w.r.to y axis.ⓘ Direction cosine with respect to y axis [m]			+10% -10%
✖y coordinate in 3D space is defined as the a point on y axis.ⓘ y coordinate in 3D space [y]			+10% -10%
✖Direction cosine with respect to z axis is the cosine of angle made by a line w.r.to z axis.ⓘ Direction cosine with respect to z axis [n]			+10% -10%
✖z coordinate in 3D space is defined as the a point on z axis.ⓘ z coordinate in 3D space [z]			+10% -10%

✖The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.ⓘ ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane [d]

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Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 400+ more calculators!

Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 200+ more calculators!

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

Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis

Angle A=acos ((Direction cosine with respect to x axis* Direction cosine 2 with respect to x axis)+(Direction cosine with respect to y axis* Direction cosine 2 with respect to y axis)+ (Direction cosine with respect to z axis* Direction cosine 2 with respect to z axis)) GO

Direction cosine of line2 w.r.to x axis given angle between line 1 & 2

Direction cosine 2 with respect to x axis= (cos(Angle A)-(Direction cosine with respect to y axis*Direction cosine 2 with respect to y axis)-(Direction cosine with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine with respect to x axis) GO

Direction cosine of line1 w.r.to x axis given angle between line 1 & 2

Direction cosine with respect to x axis= (cos(Angle A)-(Direction cosine with respect to y axis*Direction cosine 2 with respect to y axis)-(Direction cosine with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to x axis) GO

Direction cosine of line2 w.r.to y axis given angle between line 1 & 2

Direction cosine 2 with respect to y axis= cos(Angle A)-(Direction cosine with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine with respect to z axis*Direction cosine 2 with respect to z axis)/(Direction cosine with respect to y axis) GO

Direction cosine of line2 w.r.to z axis given angle between line 1 & 2

Direction cosine 2 with respect to z axis= cos(Angle A)-(Direction cosine with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine with respect to y axis*Direction cosine 2 with respect to y axis)/(Direction cosine with respect to z axis) GO

Direction cosine of line1 w.r.to z axis given angle between line 1 & 2

Direction cosine with respect to z axis= cos(Angle A)-(Direction cosine with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine with respect to y axis*Direction cosine 2 with respect to y axis)/(Direction cosine 2 with respect to z axis) GO

Direction cosine of line1 w.r.to y axis given angle between line 1 & 2

Direction cosine with respect to y axis= cos(Angle A)-(Direction cosine with respect to x axis*Direction cosine 2 with respect to x axis)-(Direction cosine with respect to z axis*Direction cosine 2 with respect to z axis)/(Direction cosine 2 with respect to y axis) GO

Relation between direction cosines of coordinate axes

Relation between direction cosines=(Direction cosine with respect to x axis)^2+(Direction cosine with respect to y axis)^2+(Direction cosine with respect to z axis)^2 GO

Direction cosine w.r.to z axis given direction cosine w.r.to x and y axis

Direction cosine with respect to z axis= sqrt(1-(Direction cosine with respect to x axis)^2- (Direction cosine with respect to y axis)^2) GO

Direction cosine w.r.to y axis given direction cosine w.r.to x and z axis

Direction cosine with respect to y axis= sqrt(1-(Direction cosine with respect to x axis)^2- (Direction cosine with respect to z axis)^2) GO

Direction cosine w.r.to x axis given direction cosine w.r.to y and z axis

Direction cosine with respect to x axis= sqrt(1-(Direction cosine with respect to y axis)^2- (Direction cosine with respect to z axis)^2) GO

< 4 Other formulas that calculate the same Output

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

Perpendicular Distance= (z1 coordinate in 3D space)/(Direction cosine with respect to z axis) GO

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

Perpendicular Distance= (y1 coordinate in 3D space)/(Direction cosine with respect to y axis) GO

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

Perpendicular Distance= (x1 coordinate in 3D space)/(Direction cosine with respect to x axis) GO

Perpendicular distance between the two surfaces

Perpendicular Distance=Displacement of upper surface/tan(Angle of Shear) GO

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

Perpendicular Distance= (Direction cosine with respect to x axis* x coordinate in 3D space)+(Direction cosine with respect to y axis* y coordinate in 3D space)+ (Direction cosine with respect to z axis* z coordinate in 3D space)
d= (l* x)+(m* y)+ (n* z)

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⊥ 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

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

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

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

What is direction cosine in coordinate system?

the direction cosines of a vector are the cosines of the angles between the vector and the three coordinate axes. Equivalently, they are the contributions of each component of the basis to a unit vector in that direction

How to Calculate ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane?

⊥ distance from the origin to the plane given direction cosines of normal from origin to plane calculator uses Perpendicular Distance= (Direction cosine with respect to x axis* x coordinate in 3D space)+(Direction cosine with respect to y axis* y coordinate in 3D space)+ (Direction cosine with respect to z axis* z coordinate in 3D space) to calculate the Perpendicular Distance, The ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane formula is defined as a distance measured from origin to the foot of normal of plane. Perpendicular Distance and is denoted by d symbol.

How to calculate ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane using this online calculator? To use this online calculator for ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane, enter Direction cosine with respect to x axis (l), x coordinate in 3D space (x), Direction cosine with respect to y axis (m), y coordinate in 3D space (y), Direction cosine with respect to z axis (n) and z coordinate in 3D space (z) and hit the calculate button. Here is how the ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane calculation can be explained with given input values -> 1000 = (1* 2)+(1* 5)+ (1* 3).

FAQ

What is ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane?

The ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane formula is defined as a distance measured from origin to the foot of normal of plane and is represented as d= (l* x)+(m* y)+ (n* z) or Perpendicular Distance= (Direction cosine with respect to x axis* x coordinate in 3D space)+(Direction cosine with respect to y axis* y coordinate in 3D space)+ (Direction cosine with respect to z axis* z coordinate in 3D space). Direction cosine with respect to x axis is the cosine of angle made by a line w.r.to x axis, x coordinate in 3D space is defined as the a point on x axis, Direction cosine with respect to y axis is the cosine of angle made by a line w.r.to y axis, y coordinate in 3D space is defined as the a point on y axis, Direction cosine with respect to z axis is the cosine of angle made by a line w.r.to z axis and z coordinate in 3D space is defined as the a point on z axis.

How to calculate ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane?

The ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane formula is defined as a distance measured from origin to the foot of normal of plane is calculated using Perpendicular Distance= (Direction cosine with respect to x axis* x coordinate in 3D space)+(Direction cosine with respect to y axis* y coordinate in 3D space)+ (Direction cosine with respect to z axis* z coordinate in 3D space). To calculate ⊥ distance from the origin to the plane given direction cosines of normal from origin to plane, you need Direction cosine with respect to x axis (l), x coordinate in 3D space (x), Direction cosine with respect to y axis (m), y coordinate in 3D space (y), Direction cosine with respect to z axis (n) and z coordinate in 3D space (z). With our tool, you need to enter the respective value for Direction cosine with respect to x axis, x coordinate in 3D space, Direction cosine with respect to y axis, y coordinate in 3D space, Direction cosine with respect to z axis and z 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.

How many ways are there to calculate Perpendicular Distance?

In this formula, Perpendicular Distance uses Direction cosine with respect to x axis, x coordinate in 3D space, Direction cosine with respect to y axis, y coordinate in 3D space, Direction cosine with respect to z axis and z coordinate in 3D space. We can use 4 other way(s) to calculate the same, which is/are as follows -

Perpendicular Distance= (z1 coordinate in 3D space)/(Direction cosine with respect to z axis)
Perpendicular Distance= (y1 coordinate in 3D space)/(Direction cosine with respect to y axis)
Perpendicular Distance= (x1 coordinate in 3D space)/(Direction cosine with respect to x axis)
Perpendicular Distance=Displacement of upper surface/tan(Angle of Shear)

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