Discrete Wavelets

021 - Vectors, Inner Products and Norms

Helmut  Knaust - Department of Mathematical Sciences, University of Texas at El Paso, hknaust@utep.edu
01/17/2023

Defining vectors

v={1,2,3}
w={-1,3,4}
z={2,3,1,-4}
a={(Subscript[b, 1]),(Subscript[b, 2]),(Subscript[b, 3])}

v

Extracting components of a vector

z[[2]]
a[[3]]

v[[1]]

z[[3]]

The scalar product

v
w
v.w

v.{1,-2}

The norm of a vector

v
Norm[v]

Sqrt[Sum[a[[i]]^2,{i,1,3}]]