There are two coplanar vectors & . If (scalar multiplication), what can be inferred about the values of a & b?
In my view answer should be but how about if and are also parallel!
Hello u2_waYou are right: if and are non-zero, non-parallel vectors then .
If and are parallel, then, for some :In which case, all you can say is that, for this value of .
i.e. (note: a zero vector)
If , and , then and can take any value.
Similarly if , and , then and can take any value.
I think that just about covers all possible cases.
Grandad