Angle between a Pair of Lines in 3D | Java program for the above approach ; Function to find the angle between the two lines ; Find direction ratio of line AB ; Find direction ratio of line BC ; Find the dotProduct of lines AB & BC ; Find magnitude of line AB and BC ; Find the cosine of the angle formed by line AB and BC ; Find angle in radian ; Print the angle ; Driver code ; Given coordinates Points A ; Points B ; Points C ; Function Call
import java . util . * ; class GFG { static void calculateAngle ( int x1 , int y1 , int z1 , int x2 , int y2 , int z2 , int x3 , int y3 , int z3 ) { int ABx = x1 - x2 ; int ABy = y1 - y2 ; int ABz = z1 - z2 ; int BCx = x3 - x2 ; int BCy = y3 - y2 ; int BCz = z3 - z2 ; double dotProduct = ABx * BCx + ABy * BCy + ABz * BCz ; double magnitudeAB = ABx * ABx + ABy * ABy + ABz * ABz ; double magnitudeBC = BCx * BCx + BCy * BCy + BCz * BCz ; double angle = dotProduct ; angle /= Math . sqrt ( magnitudeAB * magnitudeBC ) ; angle = ( angle * 180 ) / 3.14 ; System . out . printf ( " % .4f " , Math . abs ( angle ) ) ; } public static void main ( String [ ] args ) { int x1 = 1 , y1 = 3 , z1 = 3 ; int x2 = 3 , y2 = 4 , z2 = 5 ; int x3 = 5 , y3 = 6 , z3 = 9 ; calculateAngle ( x1 , y1 , z1 , x2 , y2 , z2 , x3 , y3 , z3 ) ; } }