find the vector `vecc, veca = xhati +yhatj + zhatk and vecb = hatj` are such that `veca , vecc and vecb` form a right -handed system, then find `vecc`.

Explanation

To find the vector \( \vec{c} \) such that the vectors \( \vec{a} \), \( \vec{c} \), and \( \vec{b} \) form a right-handed system, we can use the cross product. The given vectors are:

\[ \vec{a} = x \hat{i} + y \hat{j} + z \hat{k} \]
\[ \vec{b} = \hat{j} \]
...