Question

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 Unit
B: 9 units
C: 11 Units
D: 13 Units

Answer 1

both A and B because 4-5=1 and 4+5=9

Explanation:

Answer 2

Option A and B are the correct answer.

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 B

Option A and B are the correct answer.