Find u v 2u 12 v uv uv and u v u 3i 5j v I 4j u v 2u

Find |u|, |v|, |2u|, |1/2 v|, |u+v|, |u-v|, and |u| - |v|. u = -3i + 5j, v = I - 4j |u| = |v| = |2u| = |1/2 v| = |u+v| = |u - v| = |u|-|v| =

u = -3i + 5j

v = i – 4j

IuI = sqrt[9 + 25] = sqrt(34) = 5.83

IvI = sqrt[1 + 16] = sqrt(17) = 4.12

I2uI = sqrt[36 + 100] = sqrt(136) = 11.66

I0.5vI = sqrt[0.25 + 4] = 2.06

Iu + vI = sqrt[4 + 1] = 2.24

Iu – vI = sqrt[16 + 81] = 9.85

IuI – IvI = 5.83 – 4.12 = 1.71