Vector between vectors in intervals

Hello!

I have two orthogonal vectors in a 3d system: [-0.0345;0.9984;-0.0447] and [0.9838;0.0370;0.0431]. I know that by adding the two I can obtain the middle vector, so the one with 45° to both other vectors. What I want is all the other possible angles in intervals, like from the first vector to the second in steps of 5° (5° to the first, 85° to the second etc.). Any ideas?

Thanks in advance

Answer 1

[J Chen]

vec1 = [-0.0345;0.9984;-0.0447];

angle = 5*pi/180;   % angle of rotation in rad
v = vec1 + tan(angle)*vec2;   % length of vec1 is 1  
v = v/norm(v);                % v is an unit vector 5 degrees from vec1

[Arnd Meiser]

That works perfectly, thank you very much!

Answer 2

[Jan]

Remark: The inputs vectors are not normalized and only almost orthogonal:

format long g

v1 = [-0.0345; 0.9984; -0.0447]
v2 = [0.9838; 0.0370; 0.0431]

norm(v1)     % 0.9999954499896486  almost
norm(v2)     % 0.9854385064528379
dot(v1, v2)  % 0.001073129999999994  almost

I assume, you've posted the values with a limited number of digits. Use format long g to display more digits.