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How to use the three points A1, A2, and B0 to calculate ∠A1B0A2?

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Wesley
Wesley 2020-12-15
评论： James Tursa 2020-12-17

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KSSV
KSSV 2020-12-15
A1 = [171 422] ;
A2 = [415 413] ;
B0 = [277 386] ;
d1 = A1-B0 ;
d2 = A2-B0 ;
theta = atan((d2(2)-d1(2))/(d2(1)-d1(1)))
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James Tursa
James Tursa 2020-12-17
@KSSV: Your solution produces the angle that the A2-A1 vector makes with the x-axis. It does not involve B0 at all. This does not seem to answer the question.

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James Tursa
James Tursa 2020-12-17
编辑：James Tursa 2020-12-17
A1 = [171 422] ;
A2 = [415 413] ;
B0 = [277 386] ;
d1 = A1-B0 ;
d2 = A2-B0 ;
theta = atan2( norm(cross([d1 0],[d2 0])), dot(d1,d2) );
See this link:
https://www.mathworks.com/matlabcentral/answers/101590-how-can-i-determine-the-angle-between-two-vectors-in-matlab?s_tid=ta_ans_results

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