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Q & A: speed and velocity

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Most recent answer: 06/09/2016
Q:
Is it possible to have a zero velocity but a non zero speed
- 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
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)

Follow-up on this answer.