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