A) \[-2\hat{i}+6\hat{j}+4\,\hat{k}\]
B) \[-2\hat{i}+3\hat{j}+3\,\hat{k}\]
C) \[-2\hat{i}+3\hat{j}+5\,\hat{k}\]
D) \[2\hat{i}-3\hat{j}-5\,\hat{k}\]
Correct Answer: C
Solution :
The displacement vector from \[A=(0,\,\,3,\,-1)\] to \[B=(-2,\,\,6,\,\,4)\]is \[=(-2\widehat{\mathbf{i}}+6\widehat{\mathbf{j}}+4\widehat{\mathbf{k}})-(3\widehat{\mathbf{j}}-\widehat{\mathbf{k}})\] \[=-2\widehat{\mathbf{i}}+3\widehat{\mathbf{j}}+5\widehat{\mathbf{k}}\]
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