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