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

Category	Math ↺
Math	3-D Geometry ↺
3-D-Geometry	Coordinate Geometry ↺
Coordinate-Geometry	Angle 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%
✖Direction cosine 2 with respect to x axis is the cosine of angle made by a line w.r.to x axis.ⓘ Direction cosine 2 with respect to x axis [l2]			+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%
✖Direction cosine 2 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 y axis [m2]			+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%
✖Direction cosine 2 with respect to z axis is the cosine of angle made by a line w.r.to z axis.ⓘ Direction cosine 2 with respect to z axis [n2]			+10% -10%

✖The angle A is one of the angles of a triangle.ⓘ Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis [∠A]

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Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 500+ 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 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

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

< 11 Other formulas that calculate the same Output

angle made by direction cosines of two lines in sine form

Angle of intersection between two circles

Angle A=arccos((((Radius 1)^2)+((Radius 2)^2)-((Distance between two origin)^2))/(2*Radius 1*Radius 2)) GO

Acute angle of a rhombus if given both diagonals

Angle A=asin((2*Diagonal 1*Diagonal 2)/((Diagonal 1^2)+(Diagonal 2^2))) GO

Obtuse angle of rhombus if given both diagonal

Angle A=asin((2*Diagonal 1*Diagonal 2)/((Diagonal 1^2)+(Diagonal 2^2))) GO

Acute angle of rhombus given larger diagonal and side

Angle A=(arccos(((Diagonal 1)^2)/(2*(Side of rhombus )^2))-1) GO

One-half obtuse angles in a rhombus if given both diagonals

Angle A=2*(arctan(Diagonal 1/Diagonal 2)) GO

One-half acute angles in a rhombus if given both diagonals

Angle A=2*(arctan(Diagonal 2/Diagonal 1)) GO

Obtuse angle of a rhombus if given area and side

Angle A=asin(Area/Side^2) GO

Acute angle of a rhombus if given area and side

Angle A=asin(Area/Side^2) GO

Angle on the remaining part of the circumference when another angle on same chord is given

Angle A=1*Angle B GO

Angle at another point on circumference when angle on an arc is given

Angle A=1*Angle B GO

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

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))
∠A=acos ((l* l2)+(m* m2)+ (n* n2))

More formulas

angle made by direction cosines of two lines in sine form GO

angle between two lines given direction ratios of that two lines w.r.to x, y & z axis GO

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Angle between line and plane given coefficients of line and plane GO

What is coordinate system in 3D space?

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

Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis calculator uses 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)) to calculate the Angle A, Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis is defined as angle formed by two lines given direction cosines of that two lines. Angle A and is denoted by ∠A symbol.

How to calculate Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis using this online calculator? To use this online calculator for Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis, enter Direction cosine with respect to x axis (l), Direction cosine 2 with respect to x axis (l2), Direction cosine with respect to y axis (m), Direction cosine 2 with respect to y axis (m2), Direction cosine with respect to z axis (n) and Direction cosine 2 with respect to z axis (n2) and hit the calculate button. Here is how the Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis calculation can be explained with given input values -> 66.42182 = acos ((1* 0.1)+(1* 0.2)+ (1* 0.1)).

FAQ

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

Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis is defined as angle formed by two lines given direction cosines of that two lines and is represented as ∠A=acos ((l* l2)+(m* m2)+ (n* n2)) or 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)). Direction cosine with respect to x axis is the cosine of angle made by a line w.r.to x axis, Direction cosine 2 with respect to x axis is the cosine of angle made by a line w.r.to x 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 y axis is the cosine of angle made by a line w.r.to y axis, Direction cosine with respect to z axis is the cosine of angle made by a line w.r.to z axis and Direction cosine 2 with respect to z axis is the cosine of angle made by a line w.r.to z axis.

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

Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis is defined as angle formed by two lines given direction cosines of that two lines is calculated using 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)). To calculate Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis, you need Direction cosine with respect to x axis (l), Direction cosine 2 with respect to x axis (l2), Direction cosine with respect to y axis (m), Direction cosine 2 with respect to y axis (m2), Direction cosine with respect to z axis (n) and Direction cosine 2 with respect to z axis (n2). With our tool, you need to enter the respective value for 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 and Direction cosine 2 with respect to z 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 Angle A?

In this formula, Angle A uses 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 and Direction cosine 2 with respect to z axis. We can use 11 other way(s) to calculate the same, which is/are as follows -

Angle A=1*Angle B
Angle A=1*Angle B
Angle A=(arccos(((Diagonal 1)^2)/(2*(Side of rhombus )^2))-1)
Angle A=arccos((((Radius 1)^2)+((Radius 2)^2)-((Distance between two origin)^2))/(2*Radius 1*Radius 2))
Angle A=asin((2*Diagonal 1*Diagonal 2)/((Diagonal 1^2)+(Diagonal 2^2)))
Angle A=asin((2*Diagonal 1*Diagonal 2)/((Diagonal 1^2)+(Diagonal 2^2)))
Angle A=asin(Area/Side^2)
Angle A=asin(Area/Side^2)
Angle A=2*(arctan(Diagonal 2/Diagonal 1))
Angle A=2*(arctan(Diagonal 1/Diagonal 2))
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))

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