So we have three vectors. We have a, B and C. We need to find the X and my components of each of these vectors. So we have a sub x and this is going to equal forty four co sign of twenty eight degrees. This is equaling thirty eight point eight five and we have a sub. Why, this is going to be forty four sign of twenty eight degrees and this will be equal to twenty point six six. We have beasts of X. This is equaling negative twenty six point five co sign of fifty six degrees and this is equally negative. Fourteen point eight two and then we have beasts of why this is again equaling twenty six point five sign of fifty six degrees. And this is giving us twenty one point nine seven. We have cease of X is giving us thirty one coast son of two hundred and seventy degrees coastline of two hundred seventy degrees. Is there out? So this will be zero and then see some Why, Ah, if the ex component zero that means that the entire magnitude is in the white direction, so cease of why would be equal to thirty one sign of two. Seventy. And of course, this is equaling negative thirty one. All of it is in the negative wide directions. So we can say that for party, we have to find the components of a plus B close to see and me to find X and a plus B plus c. Why? And here we have thirty eight point eight five, um, minus fourteen point eight two. And this is giving us twenty four point zero three and then for why we have twenty point six six plus twenty one point nine seven minus thirty one, and this is giving us eleven point six three. To find part B, Part B would find the magnitude and the angle s We have the magnitude of a vector plus vector. Be prospector, See? And this is give. This is simply the some of the squares of the ex component in the white component. And then you take the ah half power of the entire expression. So he would be twenty four point zero three squared, plus eleven point sixty three squared and then one half power for the entire thing. And this is equaling approximately twenty six point seven. So this would be the magnitude of that vector and then for the angle we have Ark Tan Tangent is going to be the opposite over the adjacent, which means that we're taking the Y component divided by the ex component. So the art ten of eleven point six three, divided by twenty four point zero three. And this is giving us twenty five point eight degrees above the horizontal. And that is the end of the solution. Thank you for watching.