# Speed and Velocity

*Most recent answer: 05/25/2016*

Q:

Is it possible to have a zero velocity but a non zero speed

- Tom (age 27)

- Tom (age 27)

A:

No. s=|**v**|. |0|=0.

Mike W.

*(published on 05/25/2016)*

## Follow-Up #1: what is a vector

Q:

Mike, you assumed a 0 vector -- since you placed 0 inside |0|. There is no 0 vector since a vector requires non-0 length in order to have distinct head & tail, i.e., to be a vector. Your answer is correct but the proof is not. Thanks.

- Mehran (age 65)

Miami

- Mehran (age 65)

Miami

A:

All vector spaces are groups under the addition operation. They all therefore must contain the addition identity element, also called zero.

Mike W.

*(published on 06/09/2016)*