$(1$ point$)$ Suppose that u$,$v$,$

and w$$

are vectors in R$3$

$.$ Decide whether each statement is always true or not always true. Be sure you can explain why your answers are correct!

$?$

$1.$ u$\backslash$times v$=$v$\backslash$times u$$

$?$

$2.$ u$\backslash$times $($v$+$w$)=$u$\backslash$times v$+$u$\backslash$times w$$

$?$

$3.($u$\backslash$times v$)$w$=$u$($v$\backslash$times w$)$

$?$

$4.($u$\backslash$times v$)$v$=0$