Question

Adding a vector to the zero Vector:

a) Produces the zero vector
b) Preserves the non-zero vector
c) Changes the vector's direction
d) Reduces the vector's magnitude

So I would say C

Answer 1

@Liam, would you mind posting the properties of the zero vector here?

Answer 2

So if you add or subtract a vector to the zero vector it will result in that vector
If a non zero scalar is multiplied by a zero vector, the resultant is the zero vector
If zero is multiplied by any vector, the resultant is a zero vector
The zero vector is perpendicular to every vector of that vector space.

^Those I searched

Answer 3

Let me add something to that:
If you add or subtract a vector to the zero vector it will result in that SAME vector.

Answer 4

Okay. So it definitely doesn't produce the zero vector and doesn't preserve the non zero vector. It also can't change the vector's direction and can't reduce the vectors magnitude because nothing is being changed. So I'm confused.

Answer 5

\(-5 + 0 = ?\)

Answer 6

-5

Answer 7

I have you a huge hint with what I posted earlier. I can't imagine what's left to be confused about.

Answer 8

What does it mean to "preserve a non-zero vector"?

Answer 9

It means to not change

Answer 10

Exactly. In other words the -5 is like the non-zero vector. When you add 0 to it, it's value does not change.

Answer 11

I see. Thank you so much. I love how you don't feed the answers. (:

Answer 12

Nope, that is unique here, particularly, mathematics group. No direct answers.

Answer 13

Love it!