Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 500+ more calculators!
Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has verified this Calculator and 300+ more calculators!

1 Other formulas that you can solve using the same Inputs

Angle between line and plane given coefficients of line and plane
Angle A=asin(((direction ratio 1 of line1*Direction ratio 1)+(direction ratio 2 of line1*Direction ratio 2)+(direction ratio 3 of line1*Direction ratio 3))/(sqrt((direction ratio 1 of line1)^2+(direction ratio 2 of line1)^2+(direction ratio 3 of line1)^2))*(sqrt((Direction ratio 1)^2+(Direction ratio 2)^2+(Direction ratio 3)^2))) GO

11 Other formulas that calculate the same Output

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
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 ratios of that two lines w.r.to x, y & z axis Formula

Angle A= acos(((direction ratio 1 of line1*direction ratio 1 of line2)+(direction ratio 2 of line1*direction ratio 2 of line2)+(direction ratio 3 of line1*direction ratio 3 of line2))/(sqrt((direction ratio 1 of line1)^2+(direction ratio 2 of line1)^2+(direction ratio 3 of line1)^2))*(sqrt((direction ratio 1 of line2)^2+(direction ratio 2 of line2)^2+(direction ratio 3 of line2)^2)))
∠A= acos(((a1*a2)+(b1*b2)+(c1*c2))/(sqrt((a1)^2+(b1)^2+(c1)^2))*(sqrt((a2)^2+(b2)^2+(c2)^2)))
More formulas
Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis GO
angle made by direction cosines of two lines in sine form GO
Angle between two planes GO
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 ratios of that two lines w.r.to x, y & z axis?

angle between two lines given direction ratios of that two lines w.r.to x, y & z axis calculator uses Angle A= acos(((direction ratio 1 of line1*direction ratio 1 of line2)+(direction ratio 2 of line1*direction ratio 2 of line2)+(direction ratio 3 of line1*direction ratio 3 of line2))/(sqrt((direction ratio 1 of line1)^2+(direction ratio 2 of line1)^2+(direction ratio 3 of line1)^2))*(sqrt((direction ratio 1 of line2)^2+(direction ratio 2 of line2)^2+(direction ratio 3 of line2)^2))) to calculate the Angle A, Angle between two lines given direction ratios of that two lines w.r.to x, y & z axis is defined as the angle formed by two lines corresponding to given direction ratios of two lines. Angle A and is denoted by ∠A symbol.

How to calculate angle between two lines given direction ratios 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 ratios of that two lines w.r.to x, y & z axis, enter direction ratio 1 of line1 (a1), direction ratio 1 of line2 (a2), direction ratio 2 of line1 (b1), direction ratio 2 of line2 (b2), direction ratio 3 of line1 (c1) and direction ratio 3 of line2 (c2) and hit the calculate button. Here is how the angle between two lines given direction ratios of that two lines w.r.to x, y & z axis calculation can be explained with given input values -> 69.71702 = acos(((0.2*0.4)+(0.5*0.2)+(0.7*0.44))/(sqrt((0.2)^2+(0.5)^2+(0.7)^2))*(sqrt((0.4)^2+(0.2)^2+(0.44)^2))).

FAQ

What is angle between two lines given direction ratios of that two lines w.r.to x, y & z axis?
Angle between two lines given direction ratios of that two lines w.r.to x, y & z axis is defined as the angle formed by two lines corresponding to given direction ratios of two lines and is represented as ∠A= acos(((a1*a2)+(b1*b2)+(c1*c2))/(sqrt((a1)^2+(b1)^2+(c1)^2))*(sqrt((a2)^2+(b2)^2+(c2)^2))) or Angle A= acos(((direction ratio 1 of line1*direction ratio 1 of line2)+(direction ratio 2 of line1*direction ratio 2 of line2)+(direction ratio 3 of line1*direction ratio 3 of line2))/(sqrt((direction ratio 1 of line1)^2+(direction ratio 2 of line1)^2+(direction ratio 3 of line1)^2))*(sqrt((direction ratio 1 of line2)^2+(direction ratio 2 of line2)^2+(direction ratio 3 of line2)^2))). direction ratio 1 of line1 is defined as the quotient of two x coordinates of line. , direction ratio 1 of line2 is defined as the quotient of two x coordinates of line. , direction ratio 2 of line1 is defined as the quotient of two y coordinates of line. , direction ratio 2 of line2 is defined as the quotient of two y coordinates of line. , direction ratio 3 of line1 is defined as the quotient of two z coordinates of line. and direction ratio 3 of line2 is defined as the quotient of two z coordinates of line. .
How to calculate angle between two lines given direction ratios of that two lines w.r.to x, y & z axis?
Angle between two lines given direction ratios of that two lines w.r.to x, y & z axis is defined as the angle formed by two lines corresponding to given direction ratios of two lines is calculated using Angle A= acos(((direction ratio 1 of line1*direction ratio 1 of line2)+(direction ratio 2 of line1*direction ratio 2 of line2)+(direction ratio 3 of line1*direction ratio 3 of line2))/(sqrt((direction ratio 1 of line1)^2+(direction ratio 2 of line1)^2+(direction ratio 3 of line1)^2))*(sqrt((direction ratio 1 of line2)^2+(direction ratio 2 of line2)^2+(direction ratio 3 of line2)^2))). To calculate angle between two lines given direction ratios of that two lines w.r.to x, y & z axis, you need direction ratio 1 of line1 (a1), direction ratio 1 of line2 (a2), direction ratio 2 of line1 (b1), direction ratio 2 of line2 (b2), direction ratio 3 of line1 (c1) and direction ratio 3 of line2 (c2). With our tool, you need to enter the respective value for direction ratio 1 of line1, direction ratio 1 of line2, direction ratio 2 of line1, direction ratio 2 of line2, direction ratio 3 of line1 and direction ratio 3 of line2 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 ratio 1 of line1, direction ratio 1 of line2, direction ratio 2 of line1, direction ratio 2 of line2, direction ratio 3 of line1 and direction ratio 3 of line2. 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=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))
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