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QJEEM19Ph511c: JEE Main 2019 Physics - Class 11 JEEM19Ph511c Solution: In the cube of side ‘a’ shown in the figure, the vector from…

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 36 English

Multiple Choice Options

  • A 12a(k^−i^){1 \over 2}a\left( {\widehat k - \widehat i} \right)
  • B 12a(j^−i^){1 \over 2}a\left( {\widehat j - \widehat i} \right)
  • C 12a(j^−k^){1 \over 2}a\left( {\widehat j - \widehat k} \right)
  • D 12a(i^−k^){1 \over 2}a\left( {\widehat i - \widehat k} \right)

Step-by-Step Verified Solution

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

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

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