The magnitudes of vectors u and v and the angle theta betwee

The magnitudes of vectors u and v and the angle theta between the vectors are given. Find the sum of u + v. |u| = 16, |v| = 16, theta = 100 degree The magnitude of u + v is (Round to the nearest tenth as needed.)

Solution

|u| = 16 , |v| = 16 , = 100^o

Magnitude of u + v = [u² + v² + 2uvcos]

==> Magnitude of u + v = [(16)² + (16)² + 2(16)(16)cos100^o]

==> Magnitude of u + v = [256 + 256 + 512(-0.17)]

==> Magnitude of u + v = 20.563

Therefore magnitude of u + v =  20.563