If `veca=2hati+ 3hatj-5hatk,vecb =m hati+nhatj +12 hatk and veca xx vecb = vec0` then find (m,n)

Explanation

To solve the problem, we need to find the values of \( m \) and \( n \) such that the cross product of the vectors \( \vec{a} \) and \( \vec{b} \) equals the zero vector. The vectors are given as:

\[ \vec{a} = 2\hat{i} + 3\hat{j} - 5\hat{k} \]
\[ \vec{b} = m\hat{i} + n\hat{j} + 12\hat{k} \]
...