So in this question, we know that we have both electric field and magnetic field present. Um, the magnetic field has a magnitude of 0.635 Tesla, and the electric peeled, has a magnitude of 2.68 times 10 to the sixth Wilkes per meter. And the problem also tells us their direction. In fact, they their direction is such that they crossed each other at a 90 degree angle. So for the magnetic field, the direction is vertically downward. And for the electric field, it is horizontally east, horizontally due east. And then the problem tells us that we have an electron and it travels in the direction of horizontally north. So this is painting a three D picture in my mind because think about a compass thought is lying flat and how not only do you have the four directions on that plane on that flat plain, you also have the direction of going up and down vertically crossing that plane. Okay, so keep that in mind as we go further in this question, and um, they tell us that this electron will go through both field with zero net force, and it will continue in a straight line, and they're asking, Okay, given all of these conditions, what must be its velocity? So before I do any more mass with this problem, I want to draw a diagram. So we have a better idea of how every every factor, a place in here. So first, I will establish my directions. So this is the compass I'm talking about. You have north so west east. And I want you to think of this as a plane on its own. And this plane is horizontal. So imagine you are kind of laying this flat. Then you should also have the direction that is, um, into the page and out of the page. If you're following the way I'm doing it into the page will represent downward critically downward. Okay. And out of the page will then represent vertically upward. So what is happening right now is that we have, um, electric field that is horizontally due east. So the straight horizontal lines that I'm drawing in the east direction are the electric field lines, and at the same time, you have, um, the magnetic field vertically downward. So based on our legend, downward means you're coming out of the page or start into the page. Okay, so here you have a crossed magnetic and electric fields, and all the while you have a an electron moving vertically. Do you start moving horizontally north? So that means following this legend horizontally north means this direction. Okay, so here you have an electron, and that's your velocity right here. Maybe I should specify what each of these means. All right, so And this is your electron right here. Okay? And it's asking, how can it How can all the forces on it be balanced such that it will move in a straight line continually without changing directions or speed. So because this is an electron there, let's review a couple of things. Okay? So for electrons, it experiences A and, um, electric field electric force. So that is my electron. The electric force should point in the opposite direction. Asked the electric field so it will experience an electric force that is pointing to the left. At the same time, you have to use the right hand rule to figure out the magnetic force, got the electron experiences within this field that is going into the page. So, as always, you should have your index finger in the direction of velocity. You're, um, middle finger in the direction of the magnetic field. And your stomach should point in the direction of the magnetic force. So when you use right hand rule right now, you will notice that. Hey, my film actually points to the left. So doesn't that help the electric force and wouldn't up, Then accelerate the velocity, accelerate the electron, You know, with a radio acceleration to the left. Um, but remember that we're talking about an electron, so whatever your thumb, whichever direction your thumb points in as a result of right and rule, the direction for an electron should be the opposite. That so is that a pointing to the left the, um, magnetic force from feel a magnetic field. It's actually pointing to the right. Okay, so, um, basically, remember that electric field depends on sorry. Electric forest depends on the electric field. Right? Where asked, the magnetic force depends on not only the magnetic field, but also the speed of the electron. So, essentially, this question is saying how fast must be electron be moving through this crossed field, so that, um it can maintain the speed it has. So let's set these two equal to each other, right, because that's what it means to have a balanced force. Um, and the left side is Q B B, The rights that is Q E. And of course, we can cancel out que and mathematically. This question is quite simple, because velocity is just equal to eat about a B, and we are given the magnitudes of both fields. So go ahead and substitute. Um, velocity then becomes 4.22 times 10 to the sixth meters per second.