A) \[\frac{1}{2}a\,(\widehat{k}-\widehat{i})\]
B) \[\frac{1}{2}a\,(\widehat{j}-\widehat{i})\]
C) \[\frac{1}{2}a\,(\widehat{j}-\widehat{k})\]
D) \[\frac{1}{2}a\,(\widehat{i}-\widehat{k})\]
Correct Answer: B
Solution :
Let side of cube is a coordinates of point \[1\left( \frac{a}{2},\,0,\,\frac{a}{2} \right)\] \[\overrightarrow{{{r}_{1}}}\,\,=\,\,\frac{a}{2}\widehat{i}\,\,+\,\,\frac{a}{2}\widehat{k}\] Coordinates of point \[2\left( 0,\,\frac{a}{2},\,\,\frac{a}{2} \right)\] \[{{\overrightarrow{r}}_{2}}\,=\,\frac{a}{2}\widehat{j}\,\,+\,\,\frac{a}{2}\,\widehat{k}\,\] \[{{\overrightarrow{r}}_{2}}\,={{\overrightarrow{r}}_{1}}\,=\,\,\frac{a}{2}\widehat{j}\,\,-\,\,\frac{a}{2}\,\widehat{i}\,\]You need to login to perform this action.
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