A) \[\frac{24\hat{i}+5\hat{j}}{13}\]
B) \[\frac{12\hat{i}+5\hat{j}}{13}\]
C) \[\frac{6\hat{i}+5\hat{j}}{13}\]
D) None of these
Correct Answer: B
Solution :
Resultant of vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] \[\overrightarrow{R}=\overrightarrow{A}+\overrightarrow{B}=4\hat{i}-3\hat{j}+8\hat{i}+8\hat{j}\] \[=12\hat{i}+5\hat{j}\] \[\hat{R}=\frac{\overrightarrow{R}}{|R|}=\frac{12\hat{i}+5\hat{j}}{\sqrt{{{(12)}^{2}}+{{(5)}^{2}}}}\]\[=\frac{12\hat{i}+5\hat{j}}{13}\]
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