Kinematics Question 450

Question: Component of the vector $ \vec{A}=2\hat{i}+3\hat{j} $ along the vector $ \vec{B}=(\hat{i}+\hat{j}) $ it’s

Options:

A) $ \frac{5}{\sqrt{2}} $

B) $ 4\sqrt{2} $

C) $ \frac{\sqrt{2}}{3} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Component of $ \vec{A} $

along $ \vec{B}=A\cos \theta =\frac{\vec{A}.\vec{B}}{B} $

$ =\frac{2+3}{\sqrt{1+1}}=\frac{5}{\sqrt{2}} $



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