In a triangle $ABC$, right angled at the vertex $A$, if the position vectors of A, B and C are respectively $3 \hat i + \hat j - \hat k , \hat i+3 \hat j +p \hat k $ and $5 \hat i+q \hat j -4 \hat k$ then the point $(p, q)$ lies on a line :

Question

$\begin{array}{1 1}\text{ (1) parallel to x-axis.} \\ \text{ (2) parallel to y-axis.} \\ \text{(3) making an acute angle with the positive direction of x-axis.} \\ \text{(4) making an obtuse angle with the positive direction of x-axis. } \end{array} $