(a) If each of the two components (x and y) of a vector are doubled, (1) the vector’s magnitude doubles, but the direction remains unchanged; (2) the vector’s magnitude remains unchanged, but the direction angle doubles; or (3) both the vector’s magnitude and direction angle double.
(b) If the x-and y-components of a vector of 10 m at 45o are tripled, what is the new vector?