A vector of magnitude 5 points in the +y direction.Another vector of magnitude 4 is added to the first vector.The largest possible magnitude of the sum is A)1 B)4 C)5 D)9 E)10

Question

Quizplus · Accepted Answer

The largest possible magnitude of the sum occurs when the two vectors are in the same direction. Adding a vector of magnitude 4 in the +y direction to a vector of magnitude 5 in the +y direction results in a vector of magnitude 9 in the +y direction. Therefore, the answer is D.

A Vector of Magnitude 5 Points in the +Y Direction