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.



my work






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  • You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
    – N74
    2 days ago















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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.



my work






geometry







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ericshi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
    – N74
    2 days ago













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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






geometry







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ericshi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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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.



my work






geometry




geometry






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ericshi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
    – N74
    2 days ago


















  • You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
    – N74
    2 days ago
















You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
– N74
2 days ago




You can verify that $r=1$ by evaluating the norm of one of the vectors $OA$,$OB$ or $ OC$.
– N74
2 days ago















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