The angle you find at the end could actually be 180-Theta too, correct? Because the arcsine onle gives values from -90 degrees to positive 90 degrees and you need more information to determine which quadrant the angle is going to be. So when using an arcsine function alone you do not get a single answer but two possible answers.
To determine the angle between two vectors, use the dot product. That calculation boils down to taking an inverse cosine, which will automatically come out correctly (between 0 and pi radians).
Thank you. That was really helpful. I like the co-factor expansion method the best among all the different types of methods that are out there to compute the cross product of two vectors.
Is that a typo? For the first 2 by 2 determinant is it supposed to be "v sub 3" in the lower right hand corner?
I annotated the correction. Thank you for letting me know.
The angle you find at the end could actually be 180-Theta too, correct? Because the arcsine onle gives values from -90 degrees to positive 90 degrees and you need more information to determine which quadrant the angle is going to be. So when using an arcsine function alone you do not get a single answer but two possible answers.
To determine the angle between two vectors, use the dot product. That calculation boils down to taking an inverse cosine, which will automatically come out correctly (between 0 and pi radians).
Thank you. That was really helpful. I like the co-factor expansion method the best among all the different types of methods that are out there to compute the cross product of two vectors.
this is the best explanation soo far! keep up the good work.
Absolutely great videos. You have a gift for teaching my friend keep it up.
None of my fingers bend towards vector v....without breaking
i love your video and it's fantastic. Good job
jokes on you im double jointed
Thank you