A Vector $\vec { B }$ ,When Added to the Vector $\overrightarrow { \mathbf { C } } = 3 \hat { \mathbf { i } } + 4 \hat { \mathbf { j } }$

Multiple Choice

A vector, $\vec { B }$ ,when added to the vector $\overrightarrow { \mathbf { C } } = 3 \hat { \mathbf { i } } + 4 \hat { \mathbf { j } }$ yields a resultant vector which is in the positive y direction and has a magnitude equal to that of $\overrightarrow { \mathrm { C } }$ .What is the magnitude of $\vec { B }$ ?

A) 3.2
B) 6.3
C) 9.5
D) 18
E) 5