C2.7

determine, through investigation, properties of the cross product (e.g., investigate whether it is commutative, distributive, or associative; investigate the cross product of collinear vectors) Sample problem: Investigate algebraically the relationship between the cross product of the vectors $\vec{a}=(1,0,1)$ and $\vec{b}=(0,1,-1)$ and the cross product of scalar multiples of $\vec{a}$ and $\vec{b}$. Does this relationship apply to any two vectors?