Paulo Oliveira asked . 2024-01-11
Hi, I have a question, I have a table with 12 reference points
if true% POINT X Y Z1 0 0 02 70.5 0 03 141 0 04 141 0 141.55 70.5 0 141.56 0 0 141.57 0 137.5 08 70.5 137.5 09 141 140 010 141 141.5 141.511 70.5 139 141.512 0 141.5 141.5end
The segment 1 is defined by the point 1 and point 2 and the segment 2 is defined by the point 1 and point 7. I am able to calculate the angle with the following rotine,
if true % angle_x1_x13 = atan2(norm(cross(v1,v2)),dot(v1,v2)); anglout = radtodeg(angle_x1_x13); end
The result is ~90º and this result is correct if I think in xy plan, but I need to calculate the angle to yz plan and xz plan. Anyone help me?
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Expert Answer
John Michell answered . 2024-09-09 12:00:32
John Michell This code uses your angle calculation and shows for different reference points (3d). 2d is the same for your formula.
% Origin is reference pointp1 = 1*ones(1,3); % directly v1 = p1 p2 = 2*ones(1,3); % directly v2 = p2% With origin as the reference point, the angle between vectors is 0ang = rad2deg(atan2(norm(cross(p1,p2)),dot(p1,p2)));disp(ang)% Choosing reference point such that new v1, v2 are at 90 degreesrefpoint = [2 2 1];v1 = p1 - refpoint;v2 = p2 - refpoint;angNew = rad2deg(atan2(norm(cross(v1,v2)),dot(v1,v2)));disp(angNew)
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