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? Select all correct answers.

1 unit

9 units

11 units

13 units

Step-by-step answer:

The maximum and minimum values are the positive sum and difference of the two magnitudes. The magnitude of u+v can range between these two limits, namely 5+4=9, and 5-4=1.

Therefore among the given choices, the possible values of u+v are 1 unit and 9 units. 11 and 13 are greater than the maximum so do not apply.