Kinematics Question 127
Question: If $ A=3\hat{i}+4\hat{j} $ and $ B=7\hat{i}+24\hat{j}, $ the vector having the same magnitude as B and parallel to a is
Options:
A) $ 5\hat{i}+20\hat{j} $
B) $ 15\hat{i}+10\hat{j} $
C) $ 20\hat{i}+15\hat{j} $
D) $ 15\hat{i}+20\hat{j} $
Correct Answer: D $ |B|=\sqrt{7^{2}+{{(24)}^{2}}} $ $ =\sqrt{625} $ $ =25 $ Unit vector in the direction of A will be $ \hat{A}=\frac{3\hat{i}+4\hat{j}}{5} $ So required vector = $ 25( \frac{3\hat{i}+4\hat{j}}{5} ) $ $ =15\hat{i}+20\hat{j} $
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