- #1
Steve Turchin
- 11
- 0
Is the basis vector ##(i,0,1)## in the space ##V=##Span##((i,0,1))## with a standard inner product,over ##\mathbb{C}^3##
orthogonal to itself?
##<(i,0,1),(i,0,1)> = i \cdot i + 0 \cdot 0 + 1 \cdot 1 = -1 + 1 = 0 ##
The inner product (namely dot product) of this vector with itself is equal to zero.
What is going on here?
orthogonal to itself?
##<(i,0,1),(i,0,1)> = i \cdot i + 0 \cdot 0 + 1 \cdot 1 = -1 + 1 = 0 ##
The inner product (namely dot product) of this vector with itself is equal to zero.
What is going on here?