Answer
True.
Work Step by Step
True. $\vec u\times\vec v$ and $\vec v\times\vec u$ give two vectors with same magnitude but opposite direction, thus $\vec u\times\vec v+\vec v\times\vec u=0$.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.