For u = (4, 32, 1) and v = (12, 3, 1), (a) find the innerproduct represented by u, v =

Chapter 5, Problem 25

(choose chapter or problem)

For \(\mathbf{u}=\left(4,-\frac{3}{2},-1\right)\) and \(\mathbf{v}=\left(\frac{1}{2}, 3,1\right)\), (a) find the inner product represented by \(\langle\mathbf{u}, \mathbf{v}\rangle=u_{1} v_{1}+2 u_{2} v_{2}+3 u_{3} v_{3}\), and (b) use this inner product to find the distance between \(\mathbf{u}\) and \(\mathbf{v}\).

Text Transcription:

u = (4, -3 / 2, -1)

v = (1 / 2, 3,1)

langle u}, v rangle = u_1 v_1 + 2u_2 v_2 + 3u_3 v_3

u

v