So, yet again, I am confused! State whether or not the following statements are true. Justify your reasoning.

a). a• ( b+c ) = a• b + a • c
b.) a × ( b+c ) = a × b + a × c
c.) a × ( b•c ) = a × b • a × c

Thanks, again!

(a) and (b) are true. (c) crosses a vector with a scar, which makes no sense