SOLUTION: The angle between the vectors (1, 0, −1, 3) and (1, √ 3, 3, −3) in R^4 is aπ. Find a.

Algebra ->  Probability-and-statistics -> SOLUTION: The angle between the vectors (1, 0, −1, 3) and (1, √ 3, 3, −3) in R^4 is aπ. Find a.      Log On


   

Question 1162250: The angle between the vectors (1, 0, −1, 3) and (1, √ 3, 3, −3) in R^4 is aπ. Find a.
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

cos(a) = %28x%2Ay%29+%2F+%28abs%28x%29+%2A+abs%28y%29%29+%29,


where x and y are two given vectors in 4D-space;  
the numerator of the formula is their scalar product and  |x|  and  |y|  are the lengths of these 4D vectors.