Ayuda con vectores porfavor ?

Te propongo descomponer los vectores en sus componentes x e y lo cual nos quedaría asi :

<img src="https://tex.z-dn.net/?f=x_%7B1%7D%3D5u%5Ccos%2849%29%3D3.2802%5C%2Cu%5C%5Cy_%7B1%7D%3D5u%5Csin%2849%29%3D3.7735%5C%2Cu%5C%5C%5Ctextup%7BSimilarmente%20para%20el%20segundo.vector%20nos%20queda%3A%7D%5C%5Cx_%7B2%7D%3D1u%5Ccos%2812%29%3D0.9781%5C%2Cu%5C%5Cy_%7B2%7D%3D1u%5Csin%2812%29%3D0.2079%5C%2Cu%5C%5C%5Ctextup%7BSumando%20las%20componentes%20en%20x%20e%20y%20se%20obtiene%3A%7D%5C%5C%5Csum%7Bx%7D%3Dx_%7B1%7D%2Bx_%7B2%7D%3D3.2802%5C%2Cu%2B0.9781%5C%2Cu%3D4.2583%5C%2Cu%5C%5C%5Csum%7By%7D%3Dy_%7B1%7D%2By_%7B2%7D%3D3.7735%5C%2Cu%2B0.2079%5C%2Cu%3D3.9814%5C%2Cu%5C%5C%5Ctextup%7BCalculando%20el%20m%5C%27odulo%20de%20la%20resultante%20se%20obtiene%3A%7D%5C%5CR%3D%5Csqrt%7B%28%5Csum%7Bx%7D%29%5E%7B2%7D%2B%28%5Csum%7By%7D%29%5E%7B2%7D%7D%3D%5Csqrt%7B%284.2583%5C%2Cu%29%5E%7B2%7D%2B%283.9814%5C%2Cu%29%5E%7B2%7D%7D%3D%5Csqrt%7B18%5C%2Cu%5E%7B2%7D%2B16%5C%2Cu%5E%7B2%7D%7D%3D%5Csqrt%7B34%7D%5C%2Cu" />

Saludos.