We will use the Cosine Law:
m D² = A² + B² - 2 AB cos D
∠D = 65° + 58° = 123°
m D² = 220² + 140² - 2 * 220 * 140 * cos 123°
m D² = 48,000 + 19,600 + 33,854.72
m D = 319.15 km
After that we will use the Sine Law:
340 / sin 123° = 220 / sin (theta)
sin (theta) = 0.578
∠(theta) = sin^(-1)0.578 = 35.3°
Answer:
The magnitude of the vector D is 319.15 km and points 35.3° south to east.
True true true true true true true true
<span>So we want to know which Newtons law explains the reaction when we bump into the coffee cup the coffee is spilled out. So Newtons 1st law says that a body stays in motion or it stands still until a force acts on that body. So we acted by a force on the coffee cup and the coffee continued to move even if there was no force on the coffee after we bumped the coffee cup.</span>
And..............I dont think you wrote the whole question