A) \[\left( \frac{5}{\sqrt{19}} \right)[\hat{i}+3\hat{j}+3\hat{k}]\]
B) \[-\left( \frac{5}{\sqrt{19}} \right)[\hat{i}+3\hat{j}+3\hat{k}]\]
C) \[5[\hat{i}+3\hat{j}+3\hat{k}]\]
D) \[-5[\hat{i}+3\hat{j}+3\hat{k}]\]
Correct Answer: B
Solution :
[b] \[\overset{\to }{\mathop{BA}}\,=\overset{\to }{\mathop{OA}}\,-\overset{\to }{\mathop{OB}}\,=(\hat{j}+3\hat{k})-(\hat{i}+4\hat{j}+6\hat{k})\] \[=-\hat{i}-3\hat{j}-3\hat{k}\] Unit vector along \[\overset{\to }{\mathop{BA}}\,=-\hat{i}-3\hat{j}-3\hat{k}/\sqrt{19}\]
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