Kinematics Question 422

Question: The component of $ (\hat{i}+\hat{j}) $ along $ (\hat{i}-\hat{j}) $ it’s

Options:

A) 0

B) $ \frac{1}{\sqrt{2}}(\hat{i}-\hat{j}) $

C) $ \frac{1}{\sqrt{2}}(\hat{i}+\hat{j}) $

D) $ \frac{\hat{i}-\hat{j}}{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ (\hat{i}+\hat{j})\cdot (\hat{i}-\hat{j})=0, $ so, they remain at right angles to each other. So component is zero.



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