Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 400+ more calculators!
Shashwati Tidke
Vishwakarma Institute of Technology (VIT), Pune
Shashwati Tidke has verified this Calculator and 200+ more calculators!

11 Other formulas that you can solve using the same Inputs

angle made by direction cosines of two lines in sine form
Angle A= asin(sqrt(((Direction cosine with respect to x axis*Direction cosine 2 with respect to y axis)- (Direction cosine 2 with respect to x axis*Direction cosine with respect to y axis))^2+((Direction cosine with respect to y axis*Direction cosine 2 with respect to z axis)-(Direction cosine 2 with respect to y axis*Direction cosine with respect to z axis))^2+((Direction cosine with respect to z axis*Direction cosine 2 with respect to x axis)-(Direction cosine 2 with respect to z axis*Direction cosine with respect to x axis))^2)) GO
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 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

6 Other formulas that calculate the same Output

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 plane1 w.r.to x axis given plane1 and plane2 are ⊥ to each other
Direction cosine 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))/(Direction cosine 2 with respect to x axis) GO
direction cosine w.r.to x axis given direction cosines w.r.to y & z axis and ⊥ distance
Direction cosine with respect to x axis= ((Perpendicular Distance)-( Direction cosine with respect to y axis* y coordinate in 3D space)-(Direction cosine with respect to z axis* z coordinate in 3D space))/(x coordinate in 3D space) GO
Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to z axis
Direction cosine with respect to x axis= (Direction cosine with respect to z axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to z axis) 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
direction cosine w.r.to x axis given ⊥ distance from the origin to the plane
Direction cosine with respect to x axis=(x1 coordinate in 3D space)/(Perpendicular Distance) GO

Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis Formula

Direction cosine with respect to x axis= (Direction cosine with respect to y axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to y axis)
l= (m* l2)/ (m2)
More formulas
Direction cosine of a line w.r.to y axis GO
Direction cosine of a line w.r.to z axis GO
Direction cosine of a line w.r.to x-axis GO
Direction cosine w.r.to z axis given direction cosine w.r.to x and y axis GO
Direction cosine w.r.to y axis given direction cosine w.r.to x and z axis GO
Direction cosine w.r.to x axis given direction cosine w.r.to y and z axis GO
Direction cosine w.r.to x axis given direction ratio 1,2 & 3 GO
Direction cosine w.r.to y axis given direction ratio 1,2 & 3 GO
Direction cosine w.r.to z axis given direction ratio 1,2 & 3 GO
Direction cosine of line2 w.r.to x axis given angle between line 1 & 2 GO
Direction cosine of line1 w.r.to x axis given angle between line 1 & 2 GO
Direction cosine of line2 w.r.to z axis given angle between line 1 & 2 GO
Direction cosine of line2 w.r.to y axis given angle between line 1 & 2 GO
Direction cosine of line1 w.r.to z axis given angle between line 1 & 2 GO
Direction cosine of line1 w.r.to y axis given angle between line 1 & 2 GO
direction cosine w.r.to z axis given ⊥ distance from the origin to the plane GO
direction cosine w.r.to y axis given ⊥ distance from the origin to the plane GO
direction cosine w.r.to x axis given ⊥ distance from the origin to the plane GO
direction cosine w.r.to x axis given direction cosines w.r.to y & z axis and ⊥ distance GO
direction cosine w.r.to y axis given direction cosines w.r.to x & z axis and ⊥ distance GO
direction cosine w.r.to z axis given direction cosines w.r.to x & y axis and ⊥ distance GO
Direction cosine of plane1 w.r.to x axis given plane1 and plane2 are ⊥ to each other GO
Direction cosine of plane2 w.r.to x axis given plane1 and plane2 are ⊥ to each other GO
Direction cosine of plane1 w.r.to y axis given plane1 and plane2 are ⊥ to each other GO
Direction cosine of plane2 w.r.to y axis given plane1 and plane2 are ⊥ to each other GO
Direction cosine of plane1 w.r.to z axis given plane1 and plane2 are ⊥ to each other GO
Direction cosine of plane2 w.r.to z axis given plane1 and plane2 are ⊥ to each other GO
Direction cosine of plane2 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis GO
Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to z axis GO
Direction cosine of plane2 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to z axis GO
Direction cosine of plane1 w.r.to y axis given plane1 & 2 are || & direction cosines w.r.to x axis GO
Direction cosine of plane2 w.r.to y axis given plane1 & 2 are || & direction cosines w.r.to x axis GO
Direction cosine of plane1 w.r.to y axis given plane1 & 2 are || & direction cosines w.r.to z axis GO
Direction cosine of plane2 w.r.to y axis given plane1 & 2 are || & direction cosines w.r.to z axis GO
Direction cosine of plane1 w.r.to z axis given plane1 & 2 are || & direction cosines w.r.to x axis GO
Direction cosine of plane2 w.r.to z axis given plane1 & 2 are || & direction cosines w.r.to x axis GO
Direction cosine of plane1 w.r.to z axis given plane1 & 2 are || & direction cosines w.r.to y axis GO
Direction cosine of plane2 w.r.to z axis given plane1 & 2 are || & direction cosines w.r.to y axis GO

What is direction cosine in coordinate system?

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 Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis?

Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis calculator uses Direction cosine with respect to x axis= (Direction cosine with respect to y axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to y axis) to calculate the Direction cosine with respect to x axis, The Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis formula is defined as cosine of angle formed by planes. Direction cosine with respect to x axis and is denoted by l symbol.

How to calculate Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis using this online calculator? To use this online calculator for Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis, enter Direction cosine with respect to y axis (m), Direction cosine 2 with respect to x axis (l2) and Direction cosine 2 with respect to y axis (m2) and hit the calculate button. Here is how the Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis calculation can be explained with given input values -> 0.5 = (1* 0.1)/ (0.2).

FAQ

What is Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis?
The Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis formula is defined as cosine of angle formed by planes and is represented as l= (m* l2)/ (m2) or Direction cosine with respect to x axis= (Direction cosine with respect to y axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to y axis). Direction cosine with respect to y axis is the cosine of angle made by a line w.r.to y axis, Direction cosine 2 with respect to x axis is the cosine of angle made by a line w.r.to x axis and Direction cosine 2 with respect to y axis is the cosine of angle made by a line w.r.to y axis.
How to calculate Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis?
The Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis formula is defined as cosine of angle formed by planes is calculated using Direction cosine with respect to x axis= (Direction cosine with respect to y axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to y axis). To calculate Direction cosine of plane1 w.r.to x axis given plane1 & 2 are || & direction cosines w.r.to y axis, you need Direction cosine with respect to y axis (m), Direction cosine 2 with respect to x axis (l2) and Direction cosine 2 with respect to y axis (m2). With our tool, you need to enter the respective value for Direction cosine with respect to y axis, Direction cosine 2 with respect to x axis and Direction cosine 2 with respect to y axis 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 Direction cosine with respect to x axis?
In this formula, Direction cosine with respect to x axis uses Direction cosine with respect to y axis, Direction cosine 2 with respect to x axis and Direction cosine 2 with respect to y axis. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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)
  • Direction cosine with respect to x axis=(x1 coordinate in 3D space)/(Perpendicular Distance)
  • Direction cosine with respect to x axis= ((Perpendicular Distance)-( Direction cosine with respect to y axis* y coordinate in 3D space)-(Direction cosine with respect to z axis* z coordinate in 3D space))/(x coordinate in 3D space)
  • Direction cosine 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))/(Direction cosine 2 with respect to x axis)
  • Direction cosine with respect to x axis= (Direction cosine with respect to z axis* Direction cosine 2 with respect to x axis)/ (Direction cosine 2 with respect to z axis)
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