List of practice Questions

If the vectors \( 2\hat{i} - 3\hat{j} + \hat{k} \) and \( 3\hat{i} - 4\hat{j} - \hat{k} \) form three concurrent edges of a parallelepiped, then the volume of the parallelepiped is
Let \( \vec{x} \) and \( \vec{y} \) be two unit vectors and \( \theta \) is the angle between them. Then \( \vec{x} + \vec{y} \) is a unit vector if