A) \[15\hat{i}+20\hat{j}\]
B) \[5\hat{i}-3\hat{j}\]
C) \[15\hat{i}+13\hat{j}\]
D) \[5\hat{i}+14\hat{j}\]
Correct Answer: A
Solution :
Unit vector in the direction of A will be \[A=\frac{3\hat{i}+4\hat{j}}{\sqrt{{{3}^{2}}+{{4}^{2}}}}=\frac{3\hat{i}+4\hat{j}}{5}\] \[\left| B \right|=\sqrt{{{7}^{2}}+{{(24)}^{2}}}\] \[=\sqrt{625}=25\] Required vector \[=25\left( \frac{3\hat{i}+4\hat{j}}{5} \right)=5\hat{i}+20\hat{j}\]
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