Let E = 2i + 3j and F = 2i - 2j. Find the magnitude of (a) E and F

Video transcript

Alright everyone. So this problem is dealing with vectors, we are given two unit vectors that are broken up into their X and Y or I and J components and were asked to determine the magnitude of those factors. So the first thing we can do is recall that the magnitude of a vector where it's given in its X and why components is equal to the square root of the sum of the squares. And so when we look at vector A, We have a equals three I -4 J. And so that the magnitude of that will be The square root of three squared Plus the square root or plus -4 squared. And that comes out to five for B, we're gonna do the same thing Where we have to I plus three J and then the square root of the sum of the squares is going to be two squared plus three squared And that is going to be the square root of 13. And so we look at our potential answers and the correct choice is answer C Where a, the magnitude of the a vector is five and the magnitude of the B vector is the square root of 13, which can also be written as 13 to the one half. So that's all we have for this problem. We'll see you in the next video.