Kinematics Question 152
Question: The component of vector $ A=2\hat{i}+3\hat{j} $ along the vector $ \hat{i}+\hat{j} $ it’s [KCET 1997]
Options:
A) $ \frac{5}{\sqrt{2}} $
B) $ 10\sqrt{2} $
C) $ 5\sqrt{2} $
D) 5
Correct Answer: A $ \frac{\overrightarrow{A}.\overrightarrow{B}}{|\vec{i}+\vec{j}|}=\frac{(2\hat{i}+3\hat{j})(\hat{i}+\hat{j})}{\sqrt{2}} $ $ =\frac{2+3}{\sqrt{2}}=\frac{5}{\sqrt{2}} $
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