Here p and q are two vectors such that p vector + q vector = p vector - q vector then
A. P=0
B.Q=0
C.theta is 0?
D. Theta is 90?

Dear student,

You have shared a perfect answer (partial) with your question. I guess you need a proper explanation for this




$$\begin{gathered} \stackrel{\rightharpoonup }{P}+\stackrel{\rightharpoonup }{Q}=\stackrel{\rightharpoonup }{P}-\stackrel{\rightharpoonup }{Q} \\ If \stackrel{\rightharpoonup }{P}=0 \\ then equation changes to \stackrel{\rightharpoonup }{Q}=-\stackrel{\rightharpoonup }{Q} (this is not possible) \\ if \stackrel{\rightharpoonup }{Q}=0 \\ then equation changes to \stackrel{\rightharpoonup }{P}=\stackrel{\rightharpoonup }{P} (option b) \\ So correct options are b,d \end{gathered}$$

Regards,