MATH SOLVE

5 months ago

Q:
# Vector u has a magnitude of 5 units, and vector v has a magnitude of 4 units. Which of these values are possible for the magnitude of u + v?I believe there are more than one answers: A: 1 UnitB: 9 unitsC: 11 UnitsD: 13 Units

Accepted Solution

A:

Answer:Option A and B are the correct answer.Step-by-step explanation:We have vector u has a magnitude of 5 units, and vector v has a magnitude of 4 units.We need to find possible magnitude of u +v.Consider u and v are in same direction, it will give maximum magnitude possible. u + v = 5 + 4 = 9, so 9 is the maximum magnitude.Consider u and v are in opposite direction, it will give minimum magnitude possible. u + v = 5 - 4 = 1, so 1 is the minimum magnitude.So magnitude of u + v lies in between 1 and 9.Here option A, B lies in between A and BOption A and B are the correct answer.