| In the cube of side ?a? shown in the figure, the vector from central point of the face ABOD to the central point of the face BEFO will be: |
 |
A) \[\frac{1}{2}a\left( \hat{k}-\hat{i} \right)\]
B) \[\frac{1}{2}a\left( \hat{i}-\hat{k} \right)\]
C) \[\frac{1}{2}a\left( \hat{j}-\hat{i} \right)\]
D) \[\frac{1}{2}a\left( \hat{j}-\hat{k} \right)\]
Correct Answer: C
Solution :
| \[1\left( 0,\frac{a}{2},\frac{a}{2} \right)\], \[2\left( \frac{a}{2},\frac{a}{2},0 \right)\] |
| \[{{\vec{r}}_{2}}-{{\vec{r}}_{1}}=\frac{a}{2}\hat{i}-\frac{a}{2}\hat{k}\] |
| Unit vector\[=\frac{\hat{i}-\hat{k}}{\sqrt{2}}.\] |
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