I am trying to create a program without model and required to create a plane at an angle (x=0.3334° , y=0.0° & z= 14.538°)
is there any way to calculate i, j, k value for the same?
That doesn't help massively. We need to see where the angles are given, or at least an indication of which face. Do you mean the right hand face of the right hand notch?
when i am trying to change any vector value the others are changing automatically
A vector is always a unit vector, so i^2+j^2+k^2=1
If you change i value, j and k are calculated to give 1.
If the angles you gave are the plane orientation, then the vector is perp to the plane, you have to calculate right angles.
If you need to know the vectors, let PC-DMIS calculate them for you: Make an alignment with all rotations about whatever axes needed, then make a generic plane at vectors 0,0,1. Copy that generic plane before the alignment and boom, all the element data will have been recalculated to the original alignment.
Matt you are correct but with the data given by the OP if Y is 0 degree the cosine is 1 and the other 2 angles will be 0.0, 0.0 . If he meant the the cosine of Y is 0.0 then that fixes the rotation about the Y axis and the other 2 angles must make 90 degree. The data given would not appear to correctly describe the plane vector.
This can be used without the CAD model. thats the purpose of this method. Take a 3-4 hit manual plane on an unknown surface. The plane created will have a vector. Use this vector to measure an auto plane. bingo bango.
But from the looks of the image below the surface pretty tricky. So it all depends on what youre trying to measure and how much time youre willing to spend on making the vectors 100%perfect. but in most cases a vector that is off just a little bit is more than enough to do the job accurately.