Question

Prove this:
k(a . b ) = a . kb , for all k R. a , b R^3

Look at my logic and tell me if it makes sense. Thanks!

Answer 1

(k) (a).(b)
=(a)(k).(b)
=a[k.(b)]
=a[.kb]
=a . (kb)

There LS = RS

Answer 2

yes your logic does make sense because of the synchronization of properties that you used

Answer 3

nice name btw Sasuke ;)

Answer 4

Thanks. So the dot product properties I showed are cool and its all good that a and b are vectors? Just add the arrow on top and I'm good?

Answer 5

yes thats right

Answer 6

Thanks!