question_answer

If the position vectors of the points A, B, C, D be \[2\mathbf{i}+3\mathbf{j}+5\mathbf{k},\] \[\mathbf{i}+2\mathbf{j}+3\mathbf{k},\,\,-5\mathbf{i}+4\mathbf{j}-2\mathbf{k}\] and \[\mathbf{i}+10\mathbf{j}+10\mathbf{k}\] respectively, then                                                                                        [MNR 1982]

A) \[\overrightarrow{AB}=\overrightarrow{CD}\]

B) \[\overrightarrow{AB}\,\,\,|\,\,|\,\,\,\overrightarrow{\,CD}\]

C) \[\overrightarrow{AB}\,\,\bot \,\,\overrightarrow{CD}\]   

D) None of these