If force \( \vec{F}=3\hat{i}+4\hat{j}-2\hat{k} \) acts on a particle having position vector \(2\hat{i}+\hat{j}+2\hat{k} \) then, the torque about the origin will be:
\( 3\hat{i}+4\hat{j}-2\hat{k} \)
\( -10\hat{i}+10\hat{j}+5\hat{k} \)
\( 10\hat{i}+5\hat{j}-10\hat{k} \)
\( 10\hat{i}+\hat{j}-5\hat{k} \)
Which of the following relations is true for two unit vector \( \vec{A} \) and \( \vec{B} \) making an angle \( \theta \) to each other?