Final answer:
The magnitude of 5 times vector v with a magnitude of 25 and direction 40° will be 125 while the direction remains unchanged at 40°. The correct answer is C. 125; 40°.
Step-by-step explanation:
The question asks about the properties of a scaled vector. If vector v has a magnitude of 25 and a direction θ = 40°, then scaling that vector by 5 means multiplying its magnitude by 5, but the direction will remain unchanged. This is because scaling a vector does not affect its direction, only its length. Therefore, the magnitude of 5v is 5 times 25, which gives us 125. The direction remains at 40°. So, the correct answer is C. 125; 40°.