A) \[\frac{1}{\sqrt{5}}(\hat{i}+\hat{j}+\hat{k})\]
B) \[\frac{1}{\sqrt{3}}(\hat{i}+6\hat{j}+\hat{k})\]
C) \[\frac{1}{\sqrt{3}}(\hat{i}+\hat{j}+\hat{k})\]
D) \[\frac{1}{5}(7\hat{i}+3\hat{j}+4\hat{k})\]
E) \[\frac{1}{\sqrt{5}}(\hat{i}+\hat{j}+9\hat{k})\]
Correct Answer: D
Solution :
The position vector of P \[=\frac{3A+2B}{3+2}\] \[=\frac{3(1,-1,2)+2(2,3,-1)}{5}\] \[=\frac{(7,3,4)}{5}\] \[=\frac{1}{5}(7\hat{i}+3\hat{j}+4\hat{k})\]You need to login to perform this action.
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