Determine the electron's velocity.

[IHave]

Homework Statement

An electron experiences a force F = (3.4i - 1.9j)x10^-13 N when passing through a magnetic field B = (0.50 T)k Determine the electron's velocity.
v(x) =
v(y) =

Homework Equations

v = F/qB

The Attempt at a Solution

v = (3.4i - 1.9j)x10^-13 / (1.6x10^-19)(0.50)k = (4.25i - 2.375j)x10^6
v(x) = 4.25x10^6
v(y) = -2.375x10^6

I know I'm doing something wrong, I'm just not sure what. Please help.

 

[gneill]

Consider that you're dealing with a vector equation. $F = q(v \times B)$

Your magnetic field vector, B, has only a single component (the k component), so the cross product with the velocity vector will be pretty simple. If you assume that the velocity vector has components v_i, v_j, v_k, what is the cross product?

Multiply the cross product components by the charge and equate the corresponding force components.

 

[IHave]

thanks, I was able to figure it out.

v(x) = -2.4x10^6 m/s
v(y) = -4.3x10^6 m/s