How do I get arc angle between two unit vectors on a spherical triangle?











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I am trying to get an arc angle between two unit vectors on a spherical triangle, but I think something is wrong. I will show my work below.



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  • You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
    – N74
    Nov 15 at 6:42















up vote
0
down vote

favorite












I am trying to get an arc angle between two unit vectors on a spherical triangle, but I think something is wrong. I will show my work below.



my work










share|cite|improve this question






















  • You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
    – N74
    Nov 15 at 6:42













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I am trying to get an arc angle between two unit vectors on a spherical triangle, but I think something is wrong. I will show my work below.



my work










share|cite|improve this question













I am trying to get an arc angle between two unit vectors on a spherical triangle, but I think something is wrong. I will show my work below.



my work







geometry






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 15 at 6:24









ericshi

6




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  • You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
    – N74
    Nov 15 at 6:42


















  • You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
    – N74
    Nov 15 at 6:42
















You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
– N74
Nov 15 at 6:42




You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
– N74
Nov 15 at 6:42















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