By examining the diagram, or working with the formula:
(k**u**) **×** **v** =
k( **u** **×** **v** )

Fussing with math gives the result:

| (ku)×v| = | ku| |v| sin θ = | k | |u| |v| sin θ

The magnitude is | k | times the magnitude of
**u** **×** **v**
and the direction must be the same.

Another fact is that,
in general,
(**u** **×** **v**) **×** **w** ≠
**u** **×** (**v** **×** **w**)

To see this, look at the diagram and mentally form the cross product
(**u** **×** **v**) ,
then take the cross product of that with **w**.
Then form the cross product
(**v** **×** **w**)
and take the cross product of **u** with that.

What is
(**u** **×** **v**)
in the diagram ?