What are the x- and y-components of vector shown in FIGURE EX3.3 in terms of the angle and the magnitude E?

Video transcript

Hey everyone. So this problem is working with vectors. Let's see what they are asking us. We have a two D coordinate system and we're told that any vector can be broken into the X and Y components. We are asked to determine the X and Y components of this vector. A given in terms of a angle data. So from here we know that they can be broken down into its X and Y components. So those are denoted as A X and A Y. We have the hypotenuse A here and we have the angle theta. And so we can look at the vector as the X and Y components. So are Y component is going to be over this portion of the vector? And our X component is going to be this portion. So from our trigonometry, we can remember that A Y is going to be the high pot news a times the sine of theta because it's the opposite of the angle and then A X is going to be a, the hypotenuse times the cosine of theta because it's the adjacent side. And so when we look at our potential answers that aligns with choice A A X is a cosine theta and A Y is a sign data. We are working in quadrant one where X&Y are both in the positive directions. And so that's why the choices with negatives are incorrect. That's all we have for this one. We'll see you in the next video.