Problem

Two vectors have length v1 =3.5 km and v2 =4.0 km. What are the maximum and minimum magnitudes of their vector sum?

Problem 6Q

Step-by-step solution

Step 1 of 3</p>

APPROACH

The magnitude of the vector sum is maximum, when the vectors are acting along the same direction. On the contrary, the vector sum is minimum, when the vectors are in opposite direction.

Step 2 of 3</p>

Magnitude of the first vector,

Magnitude of the second vector,

Hence, the maximum magnitude of the vector sum