Calculating distance between two points in 3D space (3 Dimensional)

Question

Assuming I have a point A(x:170, y:5 ,z:-600) and I draw a triangle from this point to intersect point B using an angle of 15 degrees and at point B(x:-195, y:5 ,z:300), I draw another triangle to intersect point A using an angle of 50 degrees in 3D space (3 dimensional). My question is, I need a mathematical formula to: 1)Calculate for the distance between these two points. 2)Calculate for the angle difference between these two points.

Answer 1

The distance formula in 3 dimensions is straightforward: Square root of the sum of the squares of the three differences in x, y & z values.

 

"Angle difference between two points" is not an apt phrase.  There is a formula from Calculus III (Vectors context) giving the angle between two vectors, of course.