A Vector $\overrightarrow { \mathrm { A } }$ Is Added To

Multiple Choice

A vector $\overrightarrow { \mathrm { A } }$ is added to $\overrightarrow { \mathbf { B } } = 6 \hat { \mathbf { i } } - 8 \hat { \mathbf { j } }$ .The resultant vector is in the positive x direction and has a magnitude equal to that of $\overrightarrow { \mathrm { A } }$ .What is the direction of $\overrightarrow { \mathrm { A } }$ ?

A) 74 $\degree$
B) 100 $\degree$
C) -81 $\degree$
D) -62 $\degree$
E) 106 $\degree$