Answer
a) False
b) False
c) False
d) True
e) False
Work Step by Step
a) It must be 0 regardless of the value of t for f to be a 0 vector.
b) The two properties of a vector is that it has a magnitude or size and a direction. They can have any dimensions, not just 3. Also, not every vector is an arrow.
c) It also needs to be closed under scalar multiplication and vector addition
d) A subspace is a subset of a vector space that fulfills the 3 conditions, so it too is a vector space.
e) Digital systems are used, not analog systems
