Question

hello! can you help me with the second portion of this question?

Answer 1

we will use the parallelogram law

for our case is

we can use the formula

$|u+v|=\sqrt[]{|u|^2+|v|^2+2|u\mleft\Vert v\mright|\times\cos(120)}$$\begin{gathered} |u+v|=\sqrt[]{196+256+448\cos(120)} \\ \\ w=\sqrt[]{196+256-224} \\ \\ w=\sqrt[]{228}=2\sqrt[]{57}=15.1 \end{gathered}$

the magnitude of W is approximately 15.1 and the angle is approximately the half of 120° so 60°