The magnitudes of two displacement vectors are A = 20 m and B = 6 m. What are the largest and the smallest values of the magnitude of the resultant R⃗ = A⃗ + B⃗?

R = 26 m and R = 14 m

Explanation:

For two displacements two we can have several results, let's analyze each one of them

- collineal vectors, in the same direction

R = A + B

R = 20 + 6

R = 26 m

- Vectors in the opposite direction

R = A-B

R = 20-6

R = 14 m

- angled vactors

R = √ (A² + B²)

R = √ (20² + 6²)

R = 20.88 m

We can see that the displacements are maximum and minimum when the vectors are collinear