Question: Let \(\vec{A}=\left( -2,3,1 \right)\) and \(\vec{B}=\left( 6,C,-3 \right)\)

(a) Find the value of C such that \(\vec{A}\) and \(\vec{B}\) are orthogonal

(b) Find the value in such a way that \(\vec{A}\) and \(\vec{B}\) are parallel