Let u and v be two vectors in R2 whose Euclidean norms satisfy ||u|| = 2||v||. What is the value of α such that w = u + αv bisects the angle between u and v?
A. 2
B. 1/2
C. 1
D. -1/2
Answer:A
Let u and v be two vectors in R2 whose Euclidean norms satisfy ||u|| = 2||v||. What is the value of α such that w = u + αv bisects the angle between u and v?
A. 2 B. 1/2 C. 1 D. -1/2