question_answer

The least integral value of m for which the angle between the two vectors \[{{\vec{V}}_{1}}={{x}^{2}}\hat{i}-4\hat{j}+(3m+1)\hat{k}\] and \[{{\vec{V}}_{2}}=m\hat{i}-x\,\hat{j}+\hat{k}\] is acute \[\forall \,x\in R\] is ____.

Answer:

2