A 20-C Charge Moves with a Velocity of $2.0 \tilde { \mathbf { i } } + 4.0 \tilde { \mathbf { j } } + 6.0 \tilde { \mathbf { k } }$

A 2.0-C charge moves with a velocity of ( $2.0 \tilde { \mathbf { i } } + 4.0 \tilde { \mathbf { j } } + 6.0 \tilde { \mathbf { k } }$ ) m/s and experiences a magnetic force of ( $4.0 \hat { \mathbf { i } } - 20 \hat { \mathbf { j } } + 12 \hat { \mathbf { k } }$ ) N.The x component of the magnetic field is equal to zero.Determine the z component of the magnetic field.

A) -3.0 T
B) +3.0 T
C) +5.0 T
D) -5.0 T
E) +6.0 T