Hello, I was working on a computer graphics problem when I encountered an interesting sceanrio:(adsbygoogle = window.adsbygoogle || []).push({});

I have two vectorsaandb, such that the angle between them is 45 degrees.

The vectora+bandahave an angle between them that is 30.

This produces a problem in 'drawing' a triangle, when trying to solve this problem using the law of sines because the 'triangle' involving vectorsa,b, anda+bdo not 'add up' to 180 degress because we already have two angles (45 and 30) totalling 75 degrees, thereby needing an angle > 90 within this particular triangle for a sum total of 180 degrees for the triangle (since an individual angle of a triangle cant be more than 90 degrees.

In this case, if the length of |a| = 6

then I have one unknown angle (betweenband (a+b) and two unknown magnitudes (|b| and |a+b|)

To therefore 'build' a triangle to solve this problem using the Law of Sines, can I simply 'divide' the angle betweenaandboraanda+bto create my triangle, to find |b|?

I appreciate any insight of approaching this problem from the angle of using the Law of Sines (no pun intended), and I hope I discribed my problem clearly enough

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# Operations Involving Law of Sines and multiple Unknown Values

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