JEE PYQ: Vector Algebra - Question ID ab3e4a437f1c (JEE Main 2019)

ID: ab3e4a437f1cJEE Main 2019Single Correct MCQ
In the cube of side ‘a’ shown in the figure, the vector from the central point of the face ABOD to the central point of the face BEFO will be -

JEE Main 2019 (Online) 10th January Morning Slot Physics - Vector Algebra Question 37 English
JEE Question illustration ab3e4a437f1c

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Step-by-step Explanation

rg=a2i^+a2k^\overrightarrow {{r_g}} = {a \over 2}\widehat i + {a \over 2}\widehat k

rH=a2i^+a2k^\overrightarrow {{r_H}} = {a \over 2}\widehat i + {a \over 2}\widehat k

rHrg=a2(j^i^)\overrightarrow {{r_H}} - \overrightarrow {{r_g}} = {a \over 2}\left( {\widehat j - \widehat i} \right)