Is Scalar Addition Equivalent to Adding Parallel Vectors?

[Tiven white]

Homework Statement

T/F: The addition of two scalars is equivalent to the addition of parallel vectors.
Select one:
a. False
b. True

Homework Equations

The Attempt at a Solution

i said true reason being the magnitude of vectors can be added if they are in the same direction by tail to tip method.
is this correct?

 

[PhanthomJay]

I wouldn't say so. Although the magnitudes may be the same, vector addition still has direction, scalars ahve none. What if the parallel vectors are in opposite directions?

 

[jackarms]

I'd say it's true. I think by "equivalent" it means that the two are just analagous, so for scalars you just add the magnitudes, and for parallel vectors you also just add the magnitudes. I think by "parallel" it implies that they are both in the same direction, instead of being anti-parallel.

 

[PhanthomJay]

I'd say it's true. I think by "equivalent" it means that the two are just analagous, so for scalars you just add the magnitudes, and for parallel vectors you also just add the magnitudes. I think by "parallel" it implies that they are both in the same direction, instead of being anti-parallel.

Maybe yes. But we have to guess what is meant by 'equivalent' and to a certain extent, 'parallel' vectors. I think the question needs to be tossed in the trash.