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

Show Answer

Answer:

Correct Answer: A

Solution:

$ \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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