Let A = 4i - 2j, B = -3i + 5j, and C = A + B. (a) Write vector C in component form.

Video transcript

Hey, everyone. So this problem is dealing with vectors. Let's see what it's asking us. You are given M equals five, I minus three J N equals negative two, I plus four J. And we are asked to determine the component form of vector P where P equals M plus N. So our answer choices here are a 5.39 I plus five JB 5.83, I plus 4.47 J C three I plus J N D three I minus J. So this is a pretty straightforward vector addition problem. So the first thing we're going to do is rewrite each of these vectors. So we've got M equals five I minus three J N equals negative two I plus four J. And so we are asked to determine the component form of the vector where P equals M plus N for that, we will simply add the I components and the J components together. So we have five I plus a -2 I plus the J components will be negative three J plus four J. And then we can simplify that. And we are left with three I plus J and So that aligns with answer choice. C so C is the correct answer for this problem. That's all we have for this one. We'll see you in the next video.