- (a)
- The zero vector is the only vector of length 0.
- (b)
- If , then .
- (c)
- If , then .
- (d)
- If , then .
- (e)
- If , then .
- (f)
- If for some scalar , then and have the same direction.
- (g)
- If , and are non-zero, and is parallel to , then and are also parallel.
- (h)
-
Source
[Nicholson] W. Keith Nicholson, Linear Algebra with Applications, Lyryx 2021, Open Edition, Problem 4.1.21.
2024-09-06 02:05:50