Consider a tetrahedron with vertices given by the position vectors:
- \((- \hat{i} - \hat{j} - \hat{k})\)
- \((4 \hat{i} + 5 \hat{j} + q \hat{k})\)
- \((3 \hat{i} + 9 \hat{j} + 4 \hat{k})\)
- \(4(- \hat{i} + \hat{j} + \hat{k})\)
Determine the value of q such that the four points are coplanar.
1
q=-1
2
q=0
3
q=1
4
None of the above