Its a long time since i did any maths so i'm struggling with this and would really appreciate some help. Basically i'm using a computer software that calculates the force acting on an object. Normally i get the x y and z vector components of the force i.e (1,0,0) etc. Unfortunately, now i need to work out the force in a certain direction. I know the angles this direction makes with the x, y and z components (7.7,19.9 and 68.5 degrees respectively). So i need to find out what the vector in 3D space is that makes this angle i.e. the x,y and z components of the new vector. I've tried using the dot product so that i get, for example
cos 7.7=(A.B)/(|A||B|)So i know A (1,0,0) and I think i can assume that the length of B(x,y,z) is also 1. So I'm left to solve for x for vector B when i calculate the dot product. If I repeat to get the dot products of B with C(0,1,0) and B with D(0,0,1), I also get values for y and z, resulting in B=(0.99,0.94,0.36). I hope I've explained this ok, but am I correct in with i'm trying to do (is this the vector in the direction i'm looking for)? Any thoughts really appreciated!