- #1
Noxide
- 121
- 0
Two vectors u,v ∈ V are said to be orthogonal if <u,v> = 0.
Given the following statement: Two vectors u,v ∈ V are said to be orthogonal if <u,v> = 0.
Is it correct to write it as: if <u,v> = 0, then the two vectors u,v ∈ V are said to be orthogonal
or
Is it correct to write it as: Two vectors u,v ∈ V are said to be orthogonal <=> <u,v> = 0.
Also, can I substitute the word: Provided
for If
in a logical implication?
Given the following statement: Two vectors u,v ∈ V are said to be orthogonal if <u,v> = 0.
Is it correct to write it as: if <u,v> = 0, then the two vectors u,v ∈ V are said to be orthogonal
or
Is it correct to write it as: Two vectors u,v ∈ V are said to be orthogonal <=> <u,v> = 0.
Also, can I substitute the word: Provided
for If
in a logical implication?